45216194881 has 27 divisors (see below), whose sum is σ = 53853858723. Its totient is φ = 37918143120.

The previous prime is 45216194879. The next prime is 45216194887. The reversal of 45216194881 is 18849161254.

The square root of 45216194881 is 212641.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6688786225 + 38527408656 = 81785^2 + 196284^2 .

It is not a de Polignac number, because 45216194881 - 2¹ = 45216194879 is a prime.

It is a super-2 number, since 2×45216194881² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45216194887) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 30406920 + ... + 30408406.

Almost surely, 2^45216194881 is an apocalyptic number.

45216194881 is the 212641-st square number.

45216194881 is the 106321-st centered octagonal number.

It is an amenable number.

45216194881 is a deficient number, since it is larger than the sum of its proper divisors (8637663842).

45216194881 is an equidigital number, since it uses as much as digits as its factorization.

45216194881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022 (or 1511 counting only the distinct ones).

The product of its digits is 552960, while the sum is 49.

Multiplying 45216194881 by its sum of digits (49), we get a square (2215593549169 = 1488487²).

The spelling of 45216194881 in words is "forty-five billion, two hundred sixteen million, one hundred ninety-four thousand, eight hundred eighty-one".