456779977654 has 64 divisors (see below), whose sum is σ = 941342814720. Its totient is φ = 160456101120.

The previous prime is 456779977627. The next prime is 456779977657.

456779977654 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456779977657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2566959 + ... + 2739130.

It is an arithmetic number, because the mean of its divisors is an integer number (14708481480).

Almost surely, 2^456779977654 is an apocalyptic number.

456779977654 is an abundant number, since it is smaller than the sum of its proper divisors (484562837066).

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

456779977654 is a wasteful number, since it uses less digits than its factorization.

456779977654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306165.

The product of its digits is 2800526400, while the sum is 76.

The spelling of 456779977654 in words is "four hundred fifty-six billion, seven hundred seventy-nine million, nine hundred seventy-seven thousand, six hundred fifty-four".