456936516906 has 16 divisors (see below), whose sum is σ = 913879696800. Its totient is φ = 152311061808.

The previous prime is 456936516899. The next prime is 456936516913. The reversal of 456936516906 is 609615639654.

It is an interprime number because it is at equal distance from previous prime (456936516899) and next prime (456936516913).

It is a self number, because there is not a number n which added to its sum of digits gives 456936516906.

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, 1329885 + ... + 1637823.

It is an arithmetic number, because the mean of its divisors is an integer number (57117481050).

Almost surely, 2^456936516906 is an apocalyptic number.

456936516906 is an abundant number, since it is smaller than the sum of its proper divisors (456943179894).

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

456936516906 is a wasteful number, since it uses less digits than its factorization.

456936516906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555253.

The product of its (nonzero) digits is 31492800, while the sum is 60.

The spelling of 456936516906 in words is "four hundred fifty-six billion, nine hundred thirty-six million, five hundred sixteen thousand, nine hundred six".