456516242601 has 32 divisors (see below), whose sum is σ = 638804517120. Its totient is φ = 289440205824.

The previous prime is 456516242537. The next prime is 456516242639. The reversal of 456516242601 is 106242615654.

It is not a de Polignac number, because 456516242601 - 2⁶ = 456516242537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (456516242671) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 21860701 + ... + 21881573.

It is an arithmetic number, because the mean of its divisors is an integer number (19962641160).

Almost surely, 2^456516242601 is an apocalyptic number.

It is an amenable number.

456516242601 is a deficient number, since it is larger than the sum of its proper divisors (182288274519).

456516242601 is a wasteful number, since it uses less digits than its factorization.

456516242601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22705.

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 456516242601 in words is "four hundred fifty-six billion, five hundred sixteen million, two hundred forty-two thousand, six hundred one".