45905398272 has 280 divisors, whose sum is σ = 142294369140. Its totient is φ = 14770667520.

The previous prime is 45905398249. The next prime is 45905398277. The reversal of 45905398272 is 27289350954.

It can be written as a sum of positive squares in 2 ways, for example, as 40700641536 + 5204756736 = 201744^2 + 72144^2 .

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

It is not an unprimeable number, because it can be changed into a prime (45905398277) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10822072 + ... + 10826312.

Almost surely, 2^45905398272 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 45905398272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71147184570).

45905398272 is an abundant number, since it is smaller than the sum of its proper divisors (96388970868).

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

45905398272 is an frugal number, since it uses more digits than its factorization.

45905398272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4306 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 45905398272 in words is "forty-five billion, nine hundred five million, three hundred ninety-eight thousand, two hundred seventy-two".