455409312768 has 352 divisors, whose sum is σ = 1431405198720. Its totient is φ = 142536867840.

The previous prime is 455409312739. The next prime is 455409312811. The reversal of 455409312768 is 867213904554.

It is a happy number.

455409312768 is a `hidden beast` number, since 4 + 5 + 540 + 9 + 31 + 2 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264618148 + ... + 264619868.

It is a 1-persistent number, because it is pandigital, but 2⋅455409312768 = 910818625536 is not.

Almost surely, 2^455409312768 is an apocalyptic number.

455409312768 is a gapful number since it is divisible by the number (48) 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 455409312768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715702599360).

455409312768 is an abundant number, since it is smaller than the sum of its proper divisors (975995885952).

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

455409312768 is a wasteful number, since it uses less digits than its factorization.

455409312768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 455409312768 in words is "four hundred fifty-five billion, four hundred nine million, three hundred twelve thousand, seven hundred sixty-eight".