456335157264 has 320 divisors, whose sum is σ = 1466572800000. Its totient is φ = 119319298560.

The previous prime is 456335157247. The next prime is 456335157281. The reversal of 456335157264 is 462751533654.

It is an interprime number because it is at equal distance from previous prime (456335157247) and next prime (456335157281).

It is a super-2 number, since 2×456335157264² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130416987 + ... + 130420485.

It is an arithmetic number, because the mean of its divisors is an integer number (4583040000).

Almost surely, 2^456335157264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456335157264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733286400000).

456335157264 is an abundant number, since it is smaller than the sum of its proper divisors (1010237642736).

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

456335157264 is a wasteful number, since it uses less digits than its factorization.

456335157264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226 (or 4220 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 51.

The spelling of 456335157264 in words is "four hundred fifty-six billion, three hundred thirty-five million, one hundred fifty-seven thousand, two hundred sixty-four".