456953808359654 has 32 divisors (see below), whose sum is σ = 738319505220000. Its totient is φ = 211315489436160.

The previous prime is 456953808359647. The next prime is 456953808359683.

456953808359654 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (80) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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, 35917577 + ... + 46946564.

It is an arithmetic number, because the mean of its divisors is an integer number (23072484538125).

Almost surely, 2^{456953808359654} is an apocalyptic number.

456953808359654 is a deficient number, since it is larger than the sum of its proper divisors (281365696860346).

456953808359654 is a wasteful number, since it uses less digits than its factorization.

456953808359654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82866968.

The product of its (nonzero) digits is 16796160000, while the sum is 80.

The spelling of 456953808359654 in words is "four hundred fifty-six trillion, nine hundred fifty-three billion, eight hundred eight million, three hundred fifty-nine thousand, six hundred fifty-four".