456057029568 has 224 divisors, whose sum is σ = 1434240870400. Its totient is φ = 125174439936.

The previous prime is 456057029563. The next prime is 456057029611. The reversal of 456057029568 is 865920750654.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456057029563) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3870468 + ... + 3986556.

Almost surely, 2^456057029568 is an apocalyptic number.

456057029568 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 456057029568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717120435200).

456057029568 is an abundant number, since it is smaller than the sum of its proper divisors (978183840832).

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

456057029568 is a wasteful number, since it uses less digits than its factorization.

456057029568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116227 (or 116217 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 57.

The spelling of 456057029568 in words is "four hundred fifty-six billion, fifty-seven million, twenty-nine thousand, five hundred sixty-eight".