382685755456 has 63 divisors (see below), whose sum is σ = 774521397741. Its totient is φ = 187603962624.

The previous prime is 382685755429. The next prime is 382685755511. The reversal of 382685755456 is 654557586283.

The square root of 382685755456 is 618616.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 275877057600 + 106808697856 = 525240^2 + 326816^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 262292455 + ... + 262293913.

Almost surely, 2^382685755456 is an apocalyptic number.

382685755456 is the 618616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382685755456

382685755456 is an abundant number, since it is smaller than the sum of its proper divisors (391835642285).

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

382685755456 is an frugal number, since it uses more digits than its factorization.

382685755456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036 (or 1514 counting only the distinct ones).

The product of its digits is 241920000, while the sum is 64.

Multiplying 382685755456 by its sum of digits (64), we get a square (24491888349184 = 4948928²).

382685755456 divided by its sum of digits (64) gives a square (5979464929 = 77327²).

The spelling of 382685755456 in words is "three hundred eighty-two billion, six hundred eighty-five million, seven hundred fifty-five thousand, four hundred fifty-six".