11516133656034 has 128 divisors (see below), whose sum is σ = 30798745651200. Its totient is φ = 3115924925760.

The previous prime is 11516133656033. The next prime is 11516133656039. The reversal of 11516133656034 is 43065633161511.

11516133656034 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 6 + 1 + 3 + 36 + 5 + 603 + 4 = 666.

11516133656034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11516133656033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18050829 + ... + 18677919.

It is an arithmetic number, because the mean of its divisors is an integer number (240615200400).

Almost surely, 2^{11516133656034} is an apocalyptic number.

11516133656034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11516133656034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15399372825600).

11516133656034 is an abundant number, since it is smaller than the sum of its proper divisors (19282611995166).

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

11516133656034 is a wasteful number, since it uses less digits than its factorization.

11516133656034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629685 (or 629679 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 11516133656034 in words is "eleven trillion, five hundred sixteen billion, one hundred thirty-three million, six hundred fifty-six thousand, thirty-four".