111513252096 has 189 divisors, whose sum is σ = 334165986469. Its totient is φ = 37122997248.

The previous prime is 111513252079. The next prime is 111513252101. The reversal of 111513252096 is 690252315111.

It is a happy number.

The square root of 111513252096 is 333936.

It is a perfect power (a square), and thus also a powerful number.

111513252096 is a `hidden beast` number, since 1 + 1 + 1 + 513 + 2 + 52 + 0 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7096377600 + 104416874496 = 84240^2 + 323136^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 111513252096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 144259966 + ... + 144260738.

Almost surely, 2^111513252096 is an apocalyptic number.

111513252096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

111513252096 is the 333936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111513252096

111513252096 is an abundant number, since it is smaller than the sum of its proper divisors (222652734373).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111513252096 is an frugal number, since it uses more digits than its factorization.

111513252096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

Multiplying 111513252096 by its sum of digits (36), we get a square (4014477075456 = 2003616²).

111513252096 divided by its sum of digits (36) gives a square (3097590336 = 55656²).

It can be divided in two parts, 111513 and 252096, that added together give a square (363609 = 603²).

The spelling of 111513252096 in words is "one hundred eleven billion, five hundred thirteen million, two hundred fifty-two thousand, ninety-six".