455946726413376 has 896 divisors, whose sum is σ = 1500945048944640. Its totient is φ = 134541388800000.

The previous prime is 455946726413317. The next prime is 455946726413407. The reversal of 455946726413376 is 673314627649554.

455946726413376 is a `hidden beast` number, since 4 + 5 + 5 + 9 + 467 + 2 + 64 + 1 + 33 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 194765793966 + ... + 194765796306.

Almost surely, 2^{455946726413376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455946726413376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750472524472320).

455946726413376 is an abundant number, since it is smaller than the sum of its proper divisors (1044998322531264).

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

455946726413376 is a wasteful number, since it uses less digits than its factorization.

455946726413376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 3416 counting only the distinct ones).

The product of its digits is 2743372800, while the sum is 72.

The spelling of 455946726413376 in words is "four hundred fifty-five trillion, nine hundred forty-six billion, seven hundred twenty-six million, four hundred thirteen thousand, three hundred seventy-six".