45317357568 has 330 divisors, whose sum is σ = 152727155139. Its totient is φ = 12947816448.

The previous prime is 45317357551. The next prime is 45317357597. The reversal of 45317357568 is 86575371354.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

45317357568 is a `hidden beast` number, since 4 + 5 + 3 + 1 + 7 + 3 + 575 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22658678784 + 22658678784 = 150528^2 + 150528^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=150528.

Its product of digits (10584000) is a multiple of the sum of its prime divisors (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6473908221 + ... + 6473908227.

Almost surely, 2^45317357568 is an apocalyptic number.

45317357568 is a gapful number since it is divisible by the number (48) 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 45317357568

45317357568 is an abundant number, since it is smaller than the sum of its proper divisors (107409797571).

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

45317357568 is an frugal number, since it uses more digits than its factorization.

45317357568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 12 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 54.

The spelling of 45317357568 in words is "forty-five billion, three hundred seventeen million, three hundred fifty-seven thousand, five hundred sixty-eight".