456033260348688 has 120 divisors (see below), whose sum is σ = 1365230745577440. Its totient is φ = 130062961909760.

The previous prime is 456033260348621. The next prime is 456033260348741. The reversal of 456033260348688 is 886843062330654.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1494136953 + ... + 1494442136.

It is an arithmetic number, because the mean of its divisors is an integer number (11376922879812).

Almost surely, 2^{456033260348688} is an apocalyptic number.

456033260348688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

456033260348688 is an abundant number, since it is smaller than the sum of its proper divisors (909197485228752).

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

456033260348688 is a wasteful number, since it uses less digits than its factorization.

456033260348688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988579145 (or 2988579122 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 66.

The spelling of 456033260348688 in words is "four hundred fifty-six trillion, thirty-three billion, two hundred sixty million, three hundred forty-eight thousand, six hundred eighty-eight".