46130133103164 has 36 divisors (see below), whose sum is σ = 127207336740120. Its totient is φ = 13978828212960.

The previous prime is 46130133103133. The next prime is 46130133103213.

46130133103164 is a `hidden beast` number, since 4 + 6 + 1 + 3 + 0 + 1 + 331 + 0 + 316 + 4 = 666.

46130133103164 is nontrivially palindromic in base 10.

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, 58245117159 + ... + 58245117950.

It is an arithmetic number, because the mean of its divisors is an integer number (3533537131670).

Almost surely, 2^{46130133103164} is an apocalyptic number.

46130133103164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46130133103164 is an abundant number, since it is smaller than the sum of its proper divisors (81077203636956).

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

46130133103164 is a wasteful number, since it uses less digits than its factorization.

46130133103164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116490235130 (or 116490235125 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

It can be divided in two parts, 4613013 and 3103164, that added together give a palindrome (7716177).

The spelling of 46130133103164 in words is "forty-six trillion, one hundred thirty billion, one hundred thirty-three million, one hundred three thousand, one hundred sixty-four".