455968389279744 has 728 divisors, whose sum is σ = 1579126870631952. Its totient is φ = 130044301148160.

The previous prime is 455968389279677. The next prime is 455968389279797. The reversal of 455968389279744 is 447972983869554.

455968389279744 is a `hidden beast` number, since 4 + 5 + 5 + 96 + 8 + 389 + 2 + 79 + 74 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 557970712 + ... + 558787304.

Almost surely, 2^{455968389279744} is an apocalyptic number.

455968389279744 is a gapful number since it is divisible by the number (44) 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 455968389279744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789563435315976).

455968389279744 is an abundant number, since it is smaller than the sum of its proper divisors (1123158481352208).

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

455968389279744 is an equidigital number, since it uses as much as digits as its factorization.

455968389279744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816663 (or 816626 counting only the distinct ones).

The product of its digits is 131681894400, while the sum is 90.

The spelling of 455968389279744 in words is "four hundred fifty-five trillion, nine hundred sixty-eight billion, three hundred eighty-nine million, two hundred seventy-nine thousand, seven hundred forty-four".