11462700096 has 105 divisors (see below), whose sum is σ = 34001900119. Its totient is φ = 3818330496.

The previous prime is 11462700083. The next prime is 11462700163. The reversal of 11462700096 is 69000726411.

The square root of 11462700096 is 107064.

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

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 11462700096.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7707865 + ... + 7709351.

Almost surely, 2^11462700096 is an apocalyptic number.

11462700096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11462700096 is the 107064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11462700096

11462700096 is an abundant number, since it is smaller than the sum of its proper divisors (22539200023).

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

11462700096 is an frugal number, since it uses more digits than its factorization.

11462700096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Multiplying 11462700096 by its sum of digits (36), we get a square (412657203456 = 642384²).

11462700096 divided by its sum of digits (36) gives a square (318408336 = 17844²).

The spelling of 11462700096 in words is "eleven billion, four hundred sixty-two million, seven hundred thousand, ninety-six".