456898624608 has 48 divisors (see below), whose sum is σ = 1262483046720. Its totient is φ = 144283775616.

The previous prime is 456898624591. The next prime is 456898624643. The reversal of 456898624608 is 806426898654.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125244510 + ... + 125248157.

It is an arithmetic number, because the mean of its divisors is an integer number (26301730140).

Almost surely, 2^456898624608 is an apocalyptic number.

456898624608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

456898624608 is an abundant number, since it is smaller than the sum of its proper divisors (805584422112).

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

456898624608 is a wasteful number, since it uses less digits than its factorization.

456898624608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250492699 (or 250492691 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 66.

The spelling of 456898624608 in words is "four hundred fifty-six billion, eight hundred ninety-eight million, six hundred twenty-four thousand, six hundred eight".