456861168654 has 64 divisors (see below), whose sum is σ = 1049662955520. Its totient is φ = 131104764000.

The previous prime is 456861168563. The next prime is 456861168667.

It is a happy number.

456861168654 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3178809 + ... + 3319419.

It is an arithmetic number, because the mean of its divisors is an integer number (16400983680).

Almost surely, 2^456861168654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456861168654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524831477760).

456861168654 is an abundant number, since it is smaller than the sum of its proper divisors (592801786866).

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

456861168654 is a wasteful number, since it uses less digits than its factorization.

456861168654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143237.

The product of its digits is 33177600, while the sum is 60.

The spelling of 456861168654 in words is "four hundred fifty-six billion, eight hundred sixty-one million, one hundred sixty-eight thousand, six hundred fifty-four".