45736270272 has 784 divisors, whose sum is σ = 175901299200. Its totient is φ = 11443783680.

The previous prime is 45736270249. The next prime is 45736270289. The reversal of 45736270272 is 27207263754.

45736270272 is a `hidden beast` number, since 4 + 573 + 6 + 2 + 7 + 0 + 2 + 72 = 666.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 104182629 + ... + 104183067.

Almost surely, 2^45736270272 is an apocalyptic number.

45736270272 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 45736270272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87950649600).

45736270272 is an abundant number, since it is smaller than the sum of its proper divisors (130165028928).

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

45736270272 is a wasteful number, since it uses less digits than its factorization.

45736270272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 45736270272 in words is "forty-five billion, seven hundred thirty-six million, two hundred seventy thousand, two hundred seventy-two".