382016705625 has 225 divisors, whose sum is σ = 741994541211. Its totient is φ = 195806160000.

The previous prime is 382016705591. The next prime is 382016705633. The reversal of 382016705625 is 526507610283.

The square root of 382016705625 is 618075.

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

382016705625 is a `hidden beast` number, since 3 + 8 + 2 + 0 + 16 + 7 + 0 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 380527363161 + 1489342464 = 616869^2 + 38592^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 382016705625 - 2²¹ = 382014608473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 5701741842 + ... + 5701741908.

Almost surely, 2^382016705625 is an apocalyptic number.

382016705625 is the 618075-th square number.

382016705625 is the 309038-th centered octagonal number.

It is an amenable number.

382016705625 is a deficient number, since it is larger than the sum of its proper divisors (359977835586).

382016705625 is an frugal number, since it uses more digits than its factorization.

382016705625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 382016705625 in words is "three hundred eighty-two billion, sixteen million, seven hundred five thousand, six hundred twenty-five".