11514790656 has 144 divisors (see below), whose sum is σ = 35532241920. Its totient is φ = 3671331840.

The previous prime is 11514790627. The next prime is 11514790687. The reversal of 11514790656 is 65609741511.

11514790656 is a `hidden beast` number, since 1 + 1 + 514 + 79 + 0 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 122761 + ... + 195191.

It is an arithmetic number, because the mean of its divisors is an integer number (246751680).

Almost surely, 2^11514790656 is an apocalyptic number.

11514790656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11514790656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17766120960).

11514790656 is an abundant number, since it is smaller than the sum of its proper divisors (24017451264).

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

11514790656 is an equidigital number, since it uses as much as digits as its factorization.

11514790656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72479 (or 72459 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 11514790656 in words is "eleven billion, five hundred fourteen million, seven hundred ninety thousand, six hundred fifty-six".