11132113600896 has 64 divisors (see below), whose sum is σ = 29589945326400. Its totient is φ = 3708161026560.

The previous prime is 11132113600891. The next prime is 11132113600913. The reversal of 11132113600896 is 69800631123111.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132113600891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9374590 + ... + 10495101.

It is an arithmetic number, because the mean of its divisors is an integer number (462342895725).

Almost surely, 2^{11132113600896} is an apocalyptic number.

11132113600896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11132113600896 is an abundant number, since it is smaller than the sum of its proper divisors (18457831725504).

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

11132113600896 is a wasteful number, since it uses less digits than its factorization.

11132113600896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19871167 (or 19871155 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 11132113600896 in words is "eleven trillion, one hundred thirty-two billion, one hundred thirteen million, six hundred thousand, eight hundred ninety-six".