11545629696 has 132 divisors (see below), whose sum is σ = 35299278612. Its totient is φ = 3622109184.

The previous prime is 11545629647. The next prime is 11545629721. The reversal of 11545629696 is 69692654511.

11545629696 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 5 + 629 + 6 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6580454400 + 4965175296 = 81120^2 + 70464^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119826 + ... + 193518.

Almost surely, 2^11545629696 is an apocalyptic number.

11545629696 is a gapful number since it is divisible by the number (16) 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 11545629696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17649639306).

11545629696 is an abundant number, since it is smaller than the sum of its proper divisors (23753648916).

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

11545629696 is a wasteful number, since it uses less digits than its factorization.

11545629696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73736 (or 73715 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The spelling of 11545629696 in words is "eleven billion, five hundred forty-five million, six hundred twenty-nine thousand, six hundred ninety-six".