380645811225 has 27 divisors (see below), whose sum is σ = 681795518079. Its totient is φ = 203006163600.

The previous prime is 380645811211. The next prime is 380645811229. The reversal of 380645811225 is 522118546083.

The square root of 380645811225 is 616965.

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

380645811225 is a `hidden beast` number, since 3 + 8 + 0 + 64 + 581 + 1 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 137032492041 + 243613319184 = 370179^2 + 493572^2 .

It is not a de Polignac number, because 380645811225 - 2¹⁷ = 380645680153 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (380645811229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9233910 + ... + 9275040.

Almost surely, 2^380645811225 is an apocalyptic number.

380645811225 is the 616965-th square number.

380645811225 is the 308483-rd centered octagonal number.

It is an amenable number.

380645811225 is a deficient number, since it is larger than the sum of its proper divisors (301149706854).

380645811225 is an frugal number, since it uses more digits than its factorization.

380645811225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82278 (or 41139 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 380645811225 in words is "three hundred eighty billion, six hundred forty-five million, eight hundred eleven thousand, two hundred twenty-five".