11164455456 has 96 divisors (see below), whose sum is σ = 36538242048. Its totient is φ = 2899856640.

The previous prime is 11164455451. The next prime is 11164455469. The reversal of 11164455456 is 65455446111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (11164455451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 747780 + ... + 762563.

It is an arithmetic number, because the mean of its divisors is an integer number (380606688).

Almost surely, 2^11164455456 is an apocalyptic number.

11164455456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11164455456 is an abundant number, since it is smaller than the sum of its proper divisors (25373786592).

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

11164455456 is a wasteful number, since it uses less digits than its factorization.

11164455456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510374 (or 1510366 counting only the distinct ones).

The product of its digits is 288000, while the sum is 42.

The spelling of 11164455456 in words is "eleven billion, one hundred sixty-four million, four hundred fifty-five thousand, four hundred fifty-six".