455352218044416 has 2688 divisors, whose sum is σ = 1897055093606400. Its totient is φ = 105448711127040.

The previous prime is 455352218044391. The next prime is 455352218044469. The reversal of 455352218044416 is 614440812253554.

455352218044416 is a `hidden beast` number, since 4 + 5 + 5 + 3 + 5 + 2 + 2 + 180 + 44 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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 223 ways as a sum of consecutive naturals, for example, 37132197901 + ... + 37132210163.

It is an arithmetic number, because the mean of its divisors is an integer number (705749662800).

Almost surely, 2^{455352218044416} 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 455352218044416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948527546803200).

455352218044416 is an abundant number, since it is smaller than the sum of its proper divisors (1441702875561984).

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

455352218044416 is a wasteful number, since it uses less digits than its factorization.

455352218044416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12357 (or 12322 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 54.

The spelling of 455352218044416 in words is "four hundred fifty-five trillion, three hundred fifty-two billion, two hundred eighteen million, forty-four thousand, four hundred sixteen".