386151630921 has 81 divisors (see below), whose sum is σ = 656807884551. Its totient is φ = 217981036224.

The previous prime is 386151630847. The next prime is 386151630947. The reversal of 386151630921 is 129036151683.

The square root of 386151630921 is 621411.

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

386151630921 is a `hidden beast` number, since 3 + 8 + 6 + 1 + 5 + 1 + 630 + 9 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78419601225 + 307732029696 = 280035^2 + 554736^2 .

It is not a de Polignac number, because 386151630921 - 2¹¹ = 386151628873 is a prime.

It is a super-2 number, since 2×386151630921² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (386151630421) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1657303021 + ... + 1657303253.

Almost surely, 2^386151630921 is an apocalyptic number.

386151630921 is the 621411-st square number.

386151630921 is the 310706-th centered octagonal number.

It is an amenable number.

386151630921 is a deficient number, since it is larger than the sum of its proper divisors (270656253630).

386151630921 is an equidigital number, since it uses as much as digits as its factorization.

386151630921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 386151630921 in words is "three hundred eighty-six billion, one hundred fifty-one million, six hundred thirty thousand, nine hundred twenty-one".