45070201872 has 160 divisors (see below), whose sum is σ = 137384956800. Its totient is φ = 14106451968.

The previous prime is 45070201859. The next prime is 45070201873. The reversal of 45070201872 is 27810207054.

45070201872 is a `hidden beast` number, since 450 + 7 + 0 + 20 + 187 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (45070201873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 903208 + ... + 951800.

It is an arithmetic number, because the mean of its divisors is an integer number (858655980).

Almost surely, 2^45070201872 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 45070201872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68692478400).

45070201872 is an abundant number, since it is smaller than the sum of its proper divisors (92314754928).

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

45070201872 is a wasteful number, since it uses less digits than its factorization.

45070201872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48742 (or 48730 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 45070201872 in words is "forty-five billion, seventy million, two hundred one thousand, eight hundred seventy-two".