381156829641 has 27 divisors (see below), whose sum is σ = 640468975341. Its totient is φ = 217796494104.

The previous prime is 381156829639. The next prime is 381156829667. The reversal of 381156829641 is 146928651183.

It is a happy number.

The square root of 381156829641 is 617379.

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

381156829641 is a `hidden beast` number, since 3 + 8 + 11 + 568 + 2 + 9 + 64 + 1 = 666.

It is not a de Polignac number, because 381156829641 - 2¹ = 381156829639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (381156827641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12950260 + ... + 12979658.

Almost surely, 2^381156829641 is an apocalyptic number.

381156829641 is the 617379-th square number.

381156829641 is the 308690-th centered octagonal number.

It is an amenable number.

381156829641 is a deficient number, since it is larger than the sum of its proper divisors (259312145700).

381156829641 is an frugal number, since it uses more digits than its factorization.

381156829641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58818 (or 29409 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 381156829641 in words is "three hundred eighty-one billion, one hundred fifty-six million, eight hundred twenty-nine thousand, six hundred forty-one".