382735613127141 has 40 divisors (see below), whose sum is σ = 592580404786040. Its totient is φ = 245983314748032.

The previous prime is 382735613127103. The next prime is 382735613127193. The reversal of 382735613127141 is 141721316537283.

382735613127141 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 3 + 5 + 613 + 1 + 2 + 7 + 14 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51610991078241 + 331124622048900 = 7184079^2 + 18196830^2 .

It is not a de Polignac number, because 382735613127141 - 2¹¹ = 382735613125093 is a prime.

It is a super-2 number, since 2×382735613127141² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382735613122141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 585481786 + ... + 586135131.

It is an arithmetic number, because the mean of its divisors is an integer number (14814510119651).

Almost surely, 2^{382735613127141} is an apocalyptic number.

It is an amenable number.

382735613127141 is a deficient number, since it is larger than the sum of its proper divisors (209844791658899).

382735613127141 is a wasteful number, since it uses less digits than its factorization.

382735613127141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171617075 (or 1171617066 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 382735613127141 in words is "three hundred eighty-two trillion, seven hundred thirty-five billion, six hundred thirteen million, one hundred twenty-seven thousand, one hundred forty-one".