45057703824 has 375 divisors, whose sum is σ = 155279269483. Its totient is φ = 12196070208.

The previous prime is 45057703807. The next prime is 45057703861. The reversal of 45057703824 is 42830775054.

The square root of 45057703824 is 212268.

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

45057703824 is a `hidden beast` number, since 4 + 50 + 577 + 0 + 3 + 8 + 24 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 45057703824.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 2371458087 + ... + 2371458105.

Almost surely, 2^45057703824 is an apocalyptic number.

45057703824 is the 212268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45057703824

45057703824 is an abundant number, since it is smaller than the sum of its proper divisors (110221565659).

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

45057703824 is an frugal number, since it uses more digits than its factorization.

45057703824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 45057703824 in words is "forty-five billion, fifty-seven million, seven hundred three thousand, eight hundred twenty-four".