45517744272 has 320 divisors, whose sum is σ = 158209873920. Its totient is φ = 10890547200.

The previous prime is 45517744267. The next prime is 45517744289. The reversal of 45517744272 is 27244771554.

It is a super-2 number, since 2×45517744272² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 38870247 + ... + 38871417.

It is an arithmetic number, because the mean of its divisors is an integer number (494405856).

Almost surely, 2^45517744272 is an apocalyptic number.

45517744272 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 45517744272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79104936960).

45517744272 is an abundant number, since it is smaller than the sum of its proper divisors (112692129648).

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

45517744272 is a wasteful number, since it uses less digits than its factorization.

45517744272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2016 counting only the distinct ones).

The product of its digits is 2195200, while the sum is 48.

The spelling of 45517744272 in words is "forty-five billion, five hundred seventeen million, seven hundred forty-four thousand, two hundred seventy-two".