45072988416 has 81 divisors (see below), whose sum is σ = 129985925979. Its totient is φ = 15020932608.

The previous prime is 45072988397. The next prime is 45072988459. The reversal of 45072988416 is 61488927054.

It is a happy number.

The square root of 45072988416 is 212304.

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

45072988416 is a `hidden beast` number, since 4 + 507 + 2 + 98 + 8 + 41 + 6 = 666.

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 8 ways as a sum of consecutive naturals, for example, 10188381 + ... + 10192803.

Almost surely, 2^45072988416 is an apocalyptic number.

45072988416 is the 212304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45072988416

45072988416 is an abundant number, since it is smaller than the sum of its proper divisors (84912937563).

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

45072988416 is an frugal number, since it uses more digits than its factorization.

45072988416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8868 (or 4428 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 45072988416 in words is "forty-five billion, seventy-two million, nine hundred eighty-eight thousand, four hundred sixteen".