456131262131654 has 32 divisors (see below), whose sum is σ = 686889089712000. Its totient is φ = 227170140240960.

The previous prime is 456131262131651. The next prime is 456131262131669.

456131262131654 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 (456131262131651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3140916257 + ... + 3141061475.

It is an arithmetic number, because the mean of its divisors is an integer number (21465284053500).

Almost surely, 2^{456131262131654} is an apocalyptic number.

456131262131654 is a deficient number, since it is larger than the sum of its proper divisors (230757827580346).

456131262131654 is a wasteful number, since it uses less digits than its factorization.

456131262131654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151748.

The product of its digits is 3110400, while the sum is 50.

The spelling of 456131262131654 in words is "four hundred fifty-six trillion, one hundred thirty-one billion, two hundred sixty-two million, one hundred thirty-one thousand, six hundred fifty-four".