11506413054132 has 36 divisors (see below), whose sum is σ = 29495312342496. Its totient is φ = 3781450298640.

The previous prime is 11506413054109. The next prime is 11506413054151. The reversal of 11506413054132 is 23145031460511.

11506413054132 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 641 + 3 + 0 + 5 + 4 + 1 + 3 + 2 = 666.

11506413054132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2250860718 + ... + 2250865829.

It is an arithmetic number, because the mean of its divisors is an integer number (819314231736).

Almost surely, 2^{11506413054132} is an apocalyptic number.

11506413054132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11506413054132 is an abundant number, since it is smaller than the sum of its proper divisors (17988899288364).

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

11506413054132 is a wasteful number, since it uses less digits than its factorization.

11506413054132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4501726628 (or 4501726623 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 11506413054132 in words is "eleven trillion, five hundred six billion, four hundred thirteen million, fifty-four thousand, one hundred thirty-two".