111513600000 has 864 divisors, whose sum is σ = 442588918590. Its totient is φ = 27033600000.

The previous prime is 111513599987. The next prime is 111513600007. The reversal of 111513600000 is 6315111.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

111513600000 is a `hidden beast` number, since 1 + 11 + 51 + 3 + 600 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 160579584 + 111353020416 = 12672^2 + 333696^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (111513600007) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10137599995 + ... + 10137600005.

Almost surely, 2^111513600000 is an apocalyptic number.

111513600000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111513600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221294459295).

111513600000 is an abundant number, since it is smaller than the sum of its proper divisors (331075318590).

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

111513600000 is an frugal number, since it uses more digits than its factorization.

111513600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Multiplying 111513600000 by its product of nonzero digits (90), we get a square (10036224000000 = 3168000²).

111513600000 divided by its product of nonzero digits (90) gives a square (1239040000 = 35200²).

Adding to 111513600000 its reverse (6315111), we get a palindrome (111519915111).

The spelling of 111513600000 in words is "one hundred eleven billion, five hundred thirteen million, six hundred thousand".