456961484169654 has 32 divisors (see below), whose sum is σ = 925496615178240. Its totient is φ = 150391574424000.

The previous prime is 456961484169643. The next prime is 456961484169709.

456961484169654 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 456961484169654.

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, 88556379 + ... + 93574329.

It is an arithmetic number, because the mean of its divisors is an integer number (28921769224320).

Almost surely, 2^{456961484169654} is an apocalyptic number.

456961484169654 is an abundant number, since it is smaller than the sum of its proper divisors (468535131008586).

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

456961484169654 is a wasteful number, since it uses less digits than its factorization.

456961484169654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5210156.

The product of its digits is 5374771200, while the sum is 78.

The spelling of 456961484169654 in words is "four hundred fifty-six trillion, nine hundred sixty-one billion, four hundred eighty-four million, one hundred sixty-nine thousand, six hundred fifty-four".