45312667164 has 120 divisors (see below), whose sum is σ = 123010338528. Its totient is φ = 14533655040.

The previous prime is 45312667163. The next prime is 45312667181. The reversal of 45312667164 is 46176621354.

45312667164 is a `hidden beast` number, since 453 + 12 + 66 + 71 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45312667163) 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 39 ways as a sum of consecutive naturals, for example, 946369 + ... + 993095.

Almost surely, 2^45312667164 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 45312667164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61505169264).

45312667164 is an abundant number, since it is smaller than the sum of its proper divisors (77697671364).

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

45312667164 is a wasteful number, since it uses less digits than its factorization.

45312667164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46857 (or 46846 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 45312667164 in words is "forty-five billion, three hundred twelve million, six hundred sixty-seven thousand, one hundred sixty-four".