387968282641 has 9 divisors (see below), whose sum is σ = 394471314939. Its totient is φ = 381570774600.

The previous prime is 387968282629. The next prime is 387968282677. The reversal of 387968282641 is 146282869783.

The square root of 387968282641 is 622871.

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., 12616007041 + 375352275600 = 112321^2 + 612660^2 .

It is not a de Polignac number, because 387968282641 - 2¹¹ = 387968280593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (387968282941) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37990026 + ... + 38000236.

Almost surely, 2^387968282641 is an apocalyptic number.

387968282641 is the 622871-st square number.

387968282641 is the 311436-th centered octagonal number.

It is an amenable number.

387968282641 is a deficient number, since it is larger than the sum of its proper divisors (6503032298).

387968282641 is an frugal number, since it uses more digits than its factorization.

387968282641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20544 (or 10272 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 64.

Multiplying 387968282641 by its sum of digits (64), we get a square (24829970089024 = 4982968²).

The spelling of 387968282641 in words is "three hundred eighty-seven billion, nine hundred sixty-eight million, two hundred eighty-two thousand, six hundred forty-one".