456288401673820 has 12 divisors (see below), whose sum is σ = 958205643515064. Its totient is φ = 182515360669520.

The previous prime is 456288401673803. The next prime is 456288401673827. The reversal of 456288401673820 is 28376104882654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456288401673827) 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 3 ways as a sum of consecutive naturals, for example, 11407210041826 + ... + 11407210041865.

It is an arithmetic number, because the mean of its divisors is an integer number (79850470292922).

Almost surely, 2^{456288401673820} is an apocalyptic number.

It is an amenable number.

456288401673820 is an abundant number, since it is smaller than the sum of its proper divisors (501917241841244).

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

456288401673820 is a wasteful number, since it uses less digits than its factorization.

456288401673820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22814420083700 (or 22814420083698 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 64.

The spelling of 456288401673820 in words is "four hundred fifty-six trillion, two hundred eighty-eight billion, four hundred one million, six hundred seventy-three thousand, eight hundred twenty".