455676317712 has 480 divisors, whose sum is σ = 1682525644800. Its totient is φ = 118353674880.

The previous prime is 455676317687. The next prime is 455676317773. The reversal of 455676317712 is 217713676554.

455676317712 is a `hidden beast` number, since 4 + 5 + 567 + 6 + 3 + 1 + 7 + 71 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14653893 + ... + 14684955.

It is an arithmetic number, because the mean of its divisors is an integer number (3505261760).

Almost surely, 2^455676317712 is an apocalyptic number.

455676317712 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 455676317712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841262822400).

455676317712 is an abundant number, since it is smaller than the sum of its proper divisors (1226849327088).

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

455676317712 is a wasteful number, since it uses less digits than its factorization.

455676317712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31118 (or 31086 counting only the distinct ones).

The product of its digits is 7408800, while the sum is 54.

The spelling of 455676317712 in words is "four hundred fifty-five billion, six hundred seventy-six million, three hundred seventeen thousand, seven hundred twelve".