381589117441 has 81 divisors (see below), whose sum is σ = 491100528009. Its totient is φ = 295561088256.

The previous prime is 381589117417. The next prime is 381589117451. The reversal of 381589117441 is 144711985183.

The square root of 381589117441 is 617729.

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 37719466225 + 343869651216 = 194215^2 + 586404^2 .

It is not a de Polignac number, because 381589117441 - 2⁹ = 381589116929 is a prime.

It is a super-2 number, since 2×381589117441² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (381589117451) 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 80 ways as a sum of consecutive naturals, for example, 2131782690 + ... + 2131782868.

Almost surely, 2^381589117441 is an apocalyptic number.

381589117441 is the 617729-th square number.

381589117441 is the 308865-th centered octagonal number.

It is an amenable number.

381589117441 is a deficient number, since it is larger than the sum of its proper divisors (109511410568).

381589117441 is an equidigital number, since it uses as much as digits as its factorization.

381589117441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 232 counting only the distinct ones).

The product of its digits is 967680, while the sum is 52.

The spelling of 381589117441 in words is "three hundred eighty-one billion, five hundred eighty-nine million, one hundred seventeen thousand, four hundred forty-one".