456243222342654 has 64 divisors (see below), whose sum is σ = 1020500750011200. Its totient is φ = 151087356860544.

The previous prime is 456243222342641. The next prime is 456243222342697.

456243222342654 is a `hidden beast` number, since 4 + 5 + 6 + 24 + 3 + 222 + 342 + 6 + 54 = 666.

456243222342654 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 456243222342654.

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, 46724592 + ... + 55638780.

It is an arithmetic number, because the mean of its divisors is an integer number (15945324218925).

Almost surely, 2^{456243222342654} is an apocalyptic number.

456243222342654 is an abundant number, since it is smaller than the sum of its proper divisors (564257527668546).

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

456243222342654 is a wasteful number, since it uses less digits than its factorization.

456243222342654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8920394 (or 8920388 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 54.

The spelling of 456243222342654 in words is "four hundred fifty-six trillion, two hundred forty-three billion, two hundred twenty-two million, three hundred forty-two thousand, six hundred fifty-four".