11756648316 has 288 divisors, whose sum is σ = 35649331200. Its totient is φ = 2944650240.

The previous prime is 11756648311. The next prime is 11756648347. The reversal of 11756648316 is 61384665711.

It is a super-2 number, since 2×11756648316² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11756648311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32748145 + ... + 32748503.

It is an arithmetic number, because the mean of its divisors is an integer number (123782400).

Almost surely, 2^11756648316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11756648316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17824665600).

11756648316 is an abundant number, since it is smaller than the sum of its proper divisors (23892682884).

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

11756648316 is a wasteful number, since it uses less digits than its factorization.

11756648316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 478 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The spelling of 11756648316 in words is "eleven billion, seven hundred fifty-six million, six hundred forty-eight thousand, three hundred sixteen".