45209772972 has 288 divisors, whose sum is σ = 150812168640. Its totient is φ = 11600547840.

The previous prime is 45209772943. The next prime is 45209772989. The reversal of 45209772972 is 27927790254.

It is a happy number.

45209772972 is a `hidden beast` number, since 4 + 520 + 97 + 7 + 29 + 7 + 2 = 666.

45209772972 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2536572 + ... + 2554332.

Almost surely, 2^45209772972 is an apocalyptic number.

45209772972 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 45209772972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75406084320).

45209772972 is an abundant number, since it is smaller than the sum of its proper divisors (105602395668).

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

45209772972 is a wasteful number, since it uses less digits than its factorization.

45209772972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17838 (or 17823 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

It can be divided in two parts, 45209772 and 972, that multiplied together give a square (43943898384 = 209628²).

The spelling of 45209772972 in words is "forty-five billion, two hundred nine million, seven hundred seventy-two thousand, nine hundred seventy-two".