455310979976160 has 1296 divisors, whose sum is σ = 1992217752252000. Its totient is φ = 94345900830720.

The previous prime is 455310979976051. The next prime is 455310979976213. The reversal of 455310979976160 is 61679979013554.

It is a happy number.

455310979976160 is a `hidden beast` number, since 4 + 5 + 531 + 0 + 9 + 7 + 9 + 9 + 76 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3064981566 + ... + 3065130114.

It is an arithmetic number, because the mean of its divisors is an integer number (1537205055750).

Almost surely, 2^{455310979976160} is an apocalyptic number.

455310979976160 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 455310979976160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996108876126000).

455310979976160 is an abundant number, since it is smaller than the sum of its proper divisors (1536906772275840).

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

455310979976160 is a wasteful number, since it uses less digits than its factorization.

455310979976160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148965 (or 148936 counting only the distinct ones).

The product of its (nonzero) digits is 385786800, while the sum is 72.

The spelling of 455310979976160 in words is "four hundred fifty-five trillion, three hundred ten billion, nine hundred seventy-nine million, nine hundred seventy-six thousand, one hundred sixty".