11618314372224 has 480 divisors, whose sum is σ = 40243937065200. Its totient is φ = 3317622561792.

The previous prime is 11618314372123. The next prime is 11618314372229. The reversal of 11618314372224 is 42227341381611.

11618314372224 is a `hidden beast` number, since 1 + 1 + 618 + 3 + 1 + 4 + 3 + 7 + 2 + 2 + 24 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11618314372224.

It is not an unprimeable number, because it can be changed into a prime (11618314372229) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1058225167 + ... + 1058236145.

Almost surely, 2^{11618314372224} is an apocalyptic number.

11618314372224 is a gapful number since it is divisible by the number (14) 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 11618314372224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20121968532600).

11618314372224 is an abundant number, since it is smaller than the sum of its proper divisors (28625622692976).

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

11618314372224 is a wasteful number, since it uses less digits than its factorization.

11618314372224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13102 (or 13074 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 11618314372224 in words is "eleven trillion, six hundred eighteen billion, three hundred fourteen million, three hundred seventy-two thousand, two hundred twenty-four".