11616147504 has 120 divisors (see below), whose sum is σ = 35603502480. Its totient is φ = 3513586176.

The previous prime is 11616147503. The next prime is 11616147509. The reversal of 11616147504 is 40574161611.

11616147504 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 6 + 147 + 504 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11616147503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57862 + ... + 163034.

It is an arithmetic number, because the mean of its divisors is an integer number (296695854).

Almost surely, 2^11616147504 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 11616147504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17801751240).

11616147504 is an abundant number, since it is smaller than the sum of its proper divisors (23987354976).

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

11616147504 is a wasteful number, since it uses less digits than its factorization.

11616147504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105259 (or 105250 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11616147504 in words is "eleven billion, six hundred sixteen million, one hundred forty-seven thousand, five hundred four".