45222032772 has 216 divisors, whose sum is σ = 140507115840. Its totient is φ = 12193856640.

The previous prime is 45222032761. The next prime is 45222032803. The reversal of 45222032772 is 27723022254.

45222032772 is a `hidden beast` number, since 45 + 2 + 220 + 327 + 72 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9281497 + ... + 9286367.

Almost surely, 2^45222032772 is an apocalyptic number.

45222032772 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 45222032772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70253557920).

45222032772 is an abundant number, since it is smaller than the sum of its proper divisors (95285083068).

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

45222032772 is a wasteful number, since it uses less digits than its factorization.

45222032772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5191 (or 5179 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 45222032772 in words is "forty-five billion, two hundred twenty-two million, thirty-two thousand, seven hundred seventy-two".