455285138256 has 480 divisors, whose sum is σ = 1451311610112. Its totient is φ = 137325404160.

The previous prime is 455285138249. The next prime is 455285138261. The reversal of 455285138256 is 652831582554.

455285138256 is a `hidden beast` number, since 4 + 55 + 28 + 513 + 8 + 2 + 56 = 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, 1051466616 + ... + 1051467048.

Almost surely, 2^455285138256 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 455285138256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725655805056).

455285138256 is an abundant number, since it is smaller than the sum of its proper divisors (996026471856).

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

455285138256 is a wasteful number, since it uses less digits than its factorization.

455285138256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 815 counting only the distinct ones).

The product of its digits is 11520000, while the sum is 54.

The spelling of 455285138256 in words is "four hundred fifty-five billion, two hundred eighty-five million, one hundred thirty-eight thousand, two hundred fifty-six".