455022229517856 has 4608 divisors, whose sum is σ = 1896247891722240. Its totient is φ = 105161160867840.

The previous prime is 455022229517827. The next prime is 455022229517897. The reversal of 455022229517856 is 658715922220554.

455022229517856 is a `hidden beast` number, since 4 + 5 + 5 + 0 + 222 + 295 + 1 + 78 + 56 = 666.

It is a super-2 number, since 2×455022229517856² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 455022229517793 and 455022229517802.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 3582852200865 + ... + 3582852200991.

It is an arithmetic number, because the mean of its divisors is an integer number (411512129280).

Almost surely, 2^{455022229517856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455022229517856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948123945861120).

455022229517856 is an abundant number, since it is smaller than the sum of its proper divisors (1441225662204384).

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

455022229517856 is a wasteful number, since it uses less digits than its factorization.

455022229517856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 63.

The spelling of 455022229517856 in words is "four hundred fifty-five trillion, twenty-two billion, two hundred twenty-nine million, five hundred seventeen thousand, eight hundred fifty-six".