45572671872 has 768 divisors, whose sum is σ = 170866483200. Its totient is φ = 11851370496.

The previous prime is 45572671871. The next prime is 45572671883. The reversal of 45572671872 is 27817627554.

45572671872 is a `hidden beast` number, since 4 + 5 + 572 + 67 + 1 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45572671871) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 279586863 + ... + 279587025.

It is an arithmetic number, because the mean of its divisors is an integer number (222482400).

Almost surely, 2^45572671872 is an apocalyptic number.

45572671872 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 45572671872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85433241600).

45572671872 is an abundant number, since it is smaller than the sum of its proper divisors (125293811328).

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

45572671872 is a wasteful number, since it uses less digits than its factorization.

45572671872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 315 counting only the distinct ones).

The product of its digits is 6585600, while the sum is 54.

The spelling of 45572671872 in words is "forty-five billion, five hundred seventy-two million, six hundred seventy-one thousand, eight hundred seventy-two".