46107070164 has 72 divisors (see below), whose sum is σ = 120361649408. Its totient is φ = 14866623360.

The previous prime is 46107070117. The next prime is 46107070169.

46107070164 is a `hidden beast` number, since 461 + 0 + 70 + 70 + 1 + 64 = 666.

46107070164 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46107070169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2912679 + ... + 2928465.

Almost surely, 2^46107070164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46107070164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60180824704).

46107070164 is an abundant number, since it is smaller than the sum of its proper divisors (74254579244).

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

46107070164 is a wasteful number, since it uses less digits than its factorization.

46107070164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18445 (or 18440 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 46107070164 in words is "forty-six billion, one hundred seven million, seventy thousand, one hundred sixty-four".