45164396659104 has 72 divisors (see below), whose sum is σ = 128440021584420. Its totient is φ = 15054357147648.

The previous prime is 45164396659099. The next prime is 45164396659133. The reversal of 45164396659104 is 40195669346154.

It is a happy number.

45164396659104 is a `hidden beast` number, since 4 + 5 + 1 + 6 + 4 + 39 + 6 + 6 + 591 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43960241583504 + 1204155075600 = 6630252^2 + 1097340^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 7605502 + ... + 12172610.

Almost surely, 2^{45164396659104} is an apocalyptic number.

It is an amenable number.

45164396659104 is an abundant number, since it is smaller than the sum of its proper divisors (83275624925316).

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

45164396659104 is a wasteful number, since it uses less digits than its factorization.

45164396659104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4601462 (or 4601451 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 45164396659104 in words is "forty-five trillion, one hundred sixty-four billion, three hundred ninety-six million, six hundred fifty-nine thousand, one hundred four".