654977779456 has 144 divisors (see below), whose sum is σ = 1755386938368. Its totient is φ = 235556352000.

The previous prime is 654977779453. The next prime is 654977779493.

654977779456 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×654977779456² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (654977779453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1021720 + ... + 1534231.

It is an arithmetic number, because the mean of its divisors is an integer number (12190187072).

Almost surely, 2^654977779456 is an apocalyptic number.

It is an amenable number.

654977779456 is an abundant number, since it is smaller than the sum of its proper divisors (1100409158912).

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

654977779456 is a wasteful number, since it uses less digits than its factorization.

654977779456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555998 (or 2555984 counting only the distinct ones).

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

The spelling of 654977779456 in words is "six hundred fifty-four billion, nine hundred seventy-seven million, seven hundred seventy-nine thousand, four hundred fifty-six".