45023870304 has 384 divisors, whose sum is σ = 154385280000. Its totient is φ = 12759731712.

The previous prime is 45023870299. The next prime is 45023870329. The reversal of 45023870304 is 40307832054.

It is a happy number.

45023870304 is a `hidden beast` number, since 4 + 50 + 238 + 70 + 304 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41192382 + ... + 41193474.

It is an arithmetic number, because the mean of its divisors is an integer number (402045000).

Almost surely, 2^45023870304 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 45023870304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77192640000).

45023870304 is an abundant number, since it is smaller than the sum of its proper divisors (109361409696).

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

45023870304 is a wasteful number, since it uses less digits than its factorization.

45023870304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 45023870304 in words is "forty-five billion, twenty-three million, eight hundred seventy thousand, three hundred four".