45008322912 has 288 divisors, whose sum is σ = 150677759232. Its totient is φ = 12476685312.

The previous prime is 45008322841. The next prime is 45008322941. The reversal of 45008322912 is 21922380054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13608363 + ... + 13611669.

It is an arithmetic number, because the mean of its divisors is an integer number (523186664).

Almost surely, 2^45008322912 is an apocalyptic number.

45008322912 is a gapful number since it is divisible by the number (42) 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 45008322912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75338879616).

45008322912 is an abundant number, since it is smaller than the sum of its proper divisors (105669436320).

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

45008322912 is a wasteful number, since it uses less digits than its factorization.

45008322912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 45008322912 in words is "forty-five billion, eight million, three hundred twenty-two thousand, nine hundred twelve".