46172666627164 has 96 divisors (see below), whose sum is σ = 102198028230144. Its totient is φ = 17730760293120.

The previous prime is 46172666627149. The next prime is 46172666627209.

It is a happy number.

46172666627164 is nontrivially palindromic in base 10.

46172666627164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 46172666627096 and 46172666627105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2936394 + ... + 10048270.

It is an arithmetic number, because the mean of its divisors is an integer number (1064562794064).

Almost surely, 2^{46172666627164} is an apocalyptic number.

46172666627164 is a gapful number since it is divisible by the number (44) 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 46172666627164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51099014115072).

46172666627164 is an abundant number, since it is smaller than the sum of its proper divisors (56025361602980).

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

46172666627164 is a wasteful number, since it uses less digits than its factorization.

46172666627164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7112203 (or 7112201 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 64.

The spelling of 46172666627164 in words is "forty-six trillion, one hundred seventy-two billion, six hundred sixty-six million, six hundred twenty-seven thousand, one hundred sixty-four".