455633326374912 has 1360 divisors, whose sum is σ = 1646971580960640. Its totient is φ = 122756398055424.

The previous prime is 455633326374859. The next prime is 455633326374937. The reversal of 455633326374912 is 219473623336554.

It is a happy number.

455633326374912 is a `hidden beast` number, since 4 + 5 + 5 + 63 + 33 + 26 + 37 + 491 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 455633326374912.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46337158348 + ... + 46337168180.

Almost surely, 2^{455633326374912} is an apocalyptic number.

455633326374912 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455633326374912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823485790480320).

455633326374912 is an abundant number, since it is smaller than the sum of its proper divisors (1191338254585728).

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

455633326374912 is an frugal number, since it uses more digits than its factorization.

455633326374912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9956 (or 9917 counting only the distinct ones).

The product of its digits is 293932800, while the sum is 63.

The spelling of 455633326374912 in words is "four hundred fifty-five trillion, six hundred thirty-three billion, three hundred twenty-six million, three hundred seventy-four thousand, nine hundred twelve".