11921056416 has 60 divisors (see below), whose sum is σ = 35059503402. Its totient is φ = 3973684608.

The previous prime is 11921056403. The next prime is 11921056451. The reversal of 11921056416 is 61465012911.

11921056416 is a `hidden beast` number, since 1 + 1 + 9 + 2 + 1 + 0 + 5 + 641 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6416010000 + 5505046416 = 80100^2 + 74196^2 .

It is a super-2 number, since 2×11921056416² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2296995 + ... + 2302178.

Almost surely, 2^11921056416 is an apocalyptic number.

11921056416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11921056416 is an abundant number, since it is smaller than the sum of its proper divisors (23138446986).

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

11921056416 is an equidigital number, since it uses as much as digits as its factorization.

11921056416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4599195 (or 4599178 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 11921056416 in words is "eleven billion, nine hundred twenty-one million, fifty-six thousand, four hundred sixteen".