456311413610104 has 64 divisors (see below), whose sum is σ = 926928521164800. Its totient is φ = 209341195092864.

The previous prime is 456311413610071. The next prime is 456311413610251. The reversal of 456311413610104 is 401016314113654.

It is a super-2 number, since 2×456311413610104² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1646677849 + ... + 1646954935.

It is an arithmetic number, because the mean of its divisors is an integer number (14483258143200).

Almost surely, 2^{456311413610104} is an apocalyptic number.

It is an amenable number.

456311413610104 is an abundant number, since it is smaller than the sum of its proper divisors (470617107554696).

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

456311413610104 is a wasteful number, since it uses less digits than its factorization.

456311413610104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372092 (or 372088 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

Adding to 456311413610104 its reverse (401016314113654), we get a palindrome (857327727723758).

The spelling of 456311413610104 in words is "four hundred fifty-six trillion, three hundred eleven billion, four hundred thirteen million, six hundred ten thousand, one hundred four".