45220873104 has 315 divisors, whose sum is σ = 145201971019. Its totient is φ = 13626740160.

The previous prime is 45220873081. The next prime is 45220873141. The reversal of 45220873104 is 40137802254.

It is a happy number.

The square root of 45220873104 is 212652.

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

45220873104 is a `hidden beast` number, since 45 + 220 + 87 + 310 + 4 = 666.

45220873104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 252630487 + ... + 252630665.

Almost surely, 2^45220873104 is an apocalyptic number.

45220873104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

45220873104 is the 212652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45220873104

45220873104 is an abundant number, since it is smaller than the sum of its proper divisors (99981097915).

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

45220873104 is an equidigital number, since it uses as much as digits as its factorization.

45220873104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Multiplying 45220873104 by its sum of digits (36), we get a square (1627951431744 = 1275912²).

45220873104 divided by its sum of digits (36) gives a square (1256135364 = 35442²).

The spelling of 45220873104 in words is "forty-five billion, two hundred twenty million, eight hundred seventy-three thousand, one hundred four".