381764572641 has 9 divisors (see below), whose sum is σ = 551440393491. Its totient is φ = 254508479352.

The previous prime is 381764572627. The next prime is 381764572667. The reversal of 381764572641 is 146275467183.

The square root of 381764572641 is 617871.

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

381764572641 is a `hidden beast` number, since 3 + 8 + 1 + 7 + 6 + 4 + 572 + 64 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 350150310225 + 31614262416 = 591735^2 + 177804^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 381764572641 - 2¹⁹ = 381764048353 is a prime.

It is a super-4 number, since 4×381764572641⁴ (a number of 47 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (381764579641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1750635 + ... + 1956591.

Almost surely, 2^381764572641 is an apocalyptic number.

381764572641 is the 617871-st square number.

381764572641 is the 308936-th centered octagonal number.

It is an amenable number.

381764572641 is a deficient number, since it is larger than the sum of its proper divisors (169675820850).

381764572641 is an frugal number, since it uses more digits than its factorization.

381764572641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411920 (or 205960 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 381764572641 in words is "three hundred eighty-one billion, seven hundred sixty-four million, five hundred seventy-two thousand, six hundred forty-one".