455969393596416 has 384 divisors, whose sum is σ = 1414011126528000. Its totient is φ = 127974772703232.

The previous prime is 455969393596351. The next prime is 455969393596441. The reversal of 455969393596416 is 614695393969554.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 668992890 + ... + 669674118.

It is an arithmetic number, because the mean of its divisors is an integer number (3682320642000).

Almost surely, 2^{455969393596416} 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 455969393596416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707005563264000).

455969393596416 is an abundant number, since it is smaller than the sum of its proper divisors (958041732931584).

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

455969393596416 is a wasteful number, since it uses less digits than its factorization.

455969393596416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681537 (or 681517 counting only the distinct ones).

The product of its digits is 25509168000, while the sum is 84.

The spelling of 455969393596416 in words is "four hundred fifty-five trillion, nine hundred sixty-nine billion, three hundred ninety-three million, five hundred ninety-six thousand, four hundred sixteen".