11456455680 has 132 divisors (see below), whose sum is σ = 39696480252. Its totient is φ = 3055042560.

The previous prime is 11456455667. The next prime is 11456455691. The reversal of 11456455680 is 8655465411.

11456455680 is a `hidden beast` number, since 1 + 1 + 4 + 564 + 5 + 5 + 6 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4938153984 + 6518301696 = 70272^2 + 80736^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 78231 + ... + 170390.

It is an arithmetic number, because the mean of its divisors is an integer number (300730911).

Almost surely, 2^11456455680 is an apocalyptic number.

11456455680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11456455680 is an abundant number, since it is smaller than the sum of its proper divisors (28240024572).

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

11456455680 is a wasteful number, since it uses less digits than its factorization.

11456455680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248652 (or 248631 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 11456455680 in words is "eleven billion, four hundred fifty-six million, four hundred fifty-five thousand, six hundred eighty".