45450828864 has 567 divisors, whose sum is σ = 160786420743. Its totient is φ = 12709654272.

The previous prime is 45450828833. The next prime is 45450828881. The reversal of 45450828864 is 46882805454.

The square root of 45450828864 is 213192.

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

45450828864 is a `hidden beast` number, since 4 + 54 + 508 + 2 + 8 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (567).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 45450828864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 967038889 + ... + 967038935.

Almost surely, 2^45450828864 is an apocalyptic number.

45450828864 is the 213192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45450828864

45450828864 is an abundant number, since it is smaller than the sum of its proper divisors (115335591879).

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

45450828864 is an frugal number, since it uses more digits than its factorization.

45450828864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 45450828864 in words is "forty-five billion, four hundred fifty million, eight hundred twenty-eight thousand, eight hundred sixty-four".