11650056746000 has 80 divisors (see below), whose sum is σ = 28486352671920. Its totient is φ = 4607662822400.

The previous prime is 11650056745991. The next prime is 11650056746023. The reversal of 11650056746000 is 64765005611.

11650056746000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6364600569856 + 5285456176144 = 2522816^2 + 2299012^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32546879 + ... + 32902878.

It is an arithmetic number, because the mean of its divisors is an integer number (356079408399).

Almost surely, 2^{11650056746000} is an apocalyptic number.

11650056746000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11650056746000 is an abundant number, since it is smaller than the sum of its proper divisors (16836295925920).

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

11650056746000 is an equidigital number, since it uses as much as digits as its factorization.

11650056746000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65449869 (or 65449853 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The spelling of 11650056746000 in words is "eleven trillion, six hundred fifty billion, fifty-six million, seven hundred forty-six thousand".