45201445664 has 96 divisors (see below), whose sum is σ = 94509192960. Its totient is φ = 21221222400.

The previous prime is 45201445591. The next prime is 45201445733. The reversal of 45201445664 is 46654410254.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47430212 + ... + 47431164.

It is an arithmetic number, because the mean of its divisors is an integer number (984470760).

Almost surely, 2^45201445664 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 45201445664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47254596480).

45201445664 is an abundant number, since it is smaller than the sum of its proper divisors (49307747296).

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

45201445664 is a wasteful number, since it uses less digits than its factorization.

45201445664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 41.

The spelling of 45201445664 in words is "forty-five billion, two hundred one million, four hundred forty-five thousand, six hundred sixty-four".