459875077664 has 48 divisors (see below), whose sum is σ = 975194146080. Its totient is φ = 212769607680.

The previous prime is 459875077657. The next prime is 459875077709. The reversal of 459875077664 is 466770578954.

It is a happy number.

It is a super-2 number, since 2×459875077664² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 459875077594 and 459875077603.

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, 8768897 + ... + 8821184.

It is an arithmetic number, because the mean of its divisors is an integer number (20316544710).

Almost surely, 2^459875077664 is an apocalyptic number.

It is an amenable number.

459875077664 is an abundant number, since it is smaller than the sum of its proper divisors (515319068416).

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

459875077664 is a wasteful number, since it uses less digits than its factorization.

459875077664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17590153 (or 17590145 counting only the distinct ones).

The product of its (nonzero) digits is 355622400, while the sum is 68.

The spelling of 459875077664 in words is "four hundred fifty-nine billion, eight hundred seventy-five million, seventy-seven thousand, six hundred sixty-four".