11613502656 has 336 divisors, whose sum is σ = 39861110016. Its totient is φ = 3283835904.

The previous prime is 11613502643. The next prime is 11613502669. The reversal of 11613502656 is 65620531611.

11613502656 is a `hidden beast` number, since 11 + 613 + 5 + 0 + 26 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (11613502643) and next prime (11613502669).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11613502656.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11647950 + ... + 11648946.

It is an arithmetic number, because the mean of its divisors is an integer number (118634256).

Almost surely, 2^11613502656 is an apocalyptic number.

11613502656 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 11613502656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19930555008).

11613502656 is an abundant number, since it is smaller than the sum of its proper divisors (28247607360).

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

11613502656 is an equidigital number, since it uses as much as digits as its factorization.

11613502656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 11613502656 in words is "eleven billion, six hundred thirteen million, five hundred two thousand, six hundred fifty-six".