455164062566400 has 1440 divisors, whose sum is σ = 1845684800799840. Its totient is φ = 109947027456000.

The previous prime is 455164062566363. The next prime is 455164062566417. The reversal of 455164062566400 is 4665260461554.

455164062566400 is a `hidden beast` number, since 4 + 5 + 5 + 1 + 6 + 4 + 0 + 625 + 6 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 119 ways as a sum of consecutive naturals, for example, 12818977447 + ... + 12819012953.

It is an arithmetic number, because the mean of its divisors is an integer number (1281725556111).

Almost surely, 2^{455164062566400} is an apocalyptic number.

455164062566400 is a gapful number since it is divisible by the number (40) 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 455164062566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922842400399920).

455164062566400 is an abundant number, since it is smaller than the sum of its proper divisors (1390520738233440).

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

455164062566400 is a wasteful number, since it uses less digits than its factorization.

455164062566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35843 (or 35809 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 455164062566400 in words is "four hundred fifty-five trillion, one hundred sixty-four billion, sixty-two million, five hundred sixty-six thousand, four hundred".