382902301681 has 9 divisors (see below), whose sum is σ = 395672252619. Its totient is φ = 370532050800.

The previous prime is 382902301667. The next prime is 382902301697. The reversal of 382902301681 is 186103209283.

The square root of 382902301681 is 618791.

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., 355703695281 + 27198606400 = 596409^2 + 164920^2 .

It is not a de Polignac number, because 382902301681 - 2³¹ = 380754818033 is a prime.

It is a super-2 number, since 2×382902301681² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (382902301601) 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, 19172541 + ... + 19192501.

Almost surely, 2^382902301681 is an apocalyptic number.

382902301681 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

382902301681 is the 618791-st square number.

382902301681 is the 309396-th centered octagonal number.

It is an amenable number.

382902301681 is a deficient number, since it is larger than the sum of its proper divisors (12769950938).

382902301681 is an frugal number, since it uses more digits than its factorization.

382902301681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39984 (or 19992 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 382902301681 in words is "three hundred eighty-two billion, nine hundred two million, three hundred one thousand, six hundred eighty-one".