381090016411729 has 27 divisors (see below), whose sum is σ = 394669113516369. Its totient is φ = 367972975339200.

The previous prime is 381090016411721. The next prime is 381090016411757. The reversal of 381090016411729 is 927114610090183.

The square root of 381090016411729 is 19521527.

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

It can be written as a sum of positive squares in 4 ways, for example, as 301877524392129 + 79212492019600 = 17374623^2 + 8900140^2 .

It is not a de Polignac number, because 381090016411729 - 2³ = 381090016411721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (381090016411721) 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, 74708881279 + ... + 74708886379.

Almost surely, 2^{381090016411729} is an apocalyptic number.

381090016411729 is the 19521527-th square number.

381090016411729 is the 9760764-th centered octagonal number.

It is an amenable number.

381090016411729 is a deficient number, since it is larger than the sum of its proper divisors (13579097104640).

381090016411729 is an frugal number, since it uses more digits than its factorization.

381090016411729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10466 (or 5233 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 52.

The spelling of 381090016411729 in words is "three hundred eighty-one trillion, ninety billion, sixteen million, four hundred eleven thousand, seven hundred twenty-nine".