455769463845696 has 1792 divisors, whose sum is σ = 1714483126272000. Its totient is φ = 105189448089600.

The previous prime is 455769463845691. The next prime is 455769463845733. The reversal of 455769463845696 is 696548364967554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455769463845691) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 56344348020 + ... + 56344356108.

It is an arithmetic number, because the mean of its divisors is an integer number (956742816000).

Almost surely, 2^{455769463845696} 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 455769463845696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857241563136000).

455769463845696 is an abundant number, since it is smaller than the sum of its proper divisors (1258713662426304).

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

455769463845696 is a wasteful number, since it uses less digits than its factorization.

455769463845696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8373 (or 8349 counting only the distinct ones).

The product of its digits is 141087744000, while the sum is 87.

The spelling of 455769463845696 in words is "four hundred fifty-five trillion, seven hundred sixty-nine billion, four hundred sixty-three million, eight hundred forty-five thousand, six hundred ninety-six".