45514370304 has 216 divisors, whose sum is σ = 144614389920. Its totient is φ = 13678350336.

The previous prime is 45514370273. The next prime is 45514370309. The reversal of 45514370304 is 40307341554.

45514370304 is a `hidden beast` number, since 4 + 551 + 4 + 3 + 70 + 30 + 4 = 666.

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 (45514370309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1270267 + ... + 1305605.

Almost surely, 2^45514370304 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 45514370304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72307194960).

45514370304 is an abundant number, since it is smaller than the sum of its proper divisors (99100019616).

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

45514370304 is a wasteful number, since it uses less digits than its factorization.

45514370304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35417 (or 35400 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 45514370304 in words is "forty-five billion, five hundred fourteen million, three hundred seventy thousand, three hundred four".