387887117372361 has 24 divisors (see below), whose sum is σ = 560950031268744. Its totient is φ = 258282907407360.

The previous prime is 387887117372333. The next prime is 387887117372389. The reversal of 387887117372361 is 163273711788783.

387887117372361 is a `hidden beast` number, since 3 + 8 + 7 + 8 + 87 + 117 + 3 + 72 + 361 = 666.

It is an interprime number because it is at equal distance from previous prime (387887117372333) and next prime (387887117372389).

It can be written as a sum of positive squares in 4 ways, for example, as 266089826307600 + 121797291064761 = 16312260^2 + 11036181^2 .

It is not a de Polignac number, because 387887117372361 - 2¹⁵ = 387887117339593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 387887117372361.

It is not an unprimeable number, because it can be changed into a prime (387887117372561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43098585 + ... + 51315321.

It is an arithmetic number, because the mean of its divisors is an integer number (23372917969531).

Almost surely, 2^{387887117372361} is an apocalyptic number.

It is an amenable number.

387887117372361 is a deficient number, since it is larger than the sum of its proper divisors (173062913896383).

387887117372361 is a wasteful number, since it uses less digits than its factorization.

387887117372361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8223001 (or 8222998 counting only the distinct ones).

The product of its digits is 398297088, while the sum is 72.

The spelling of 387887117372361 in words is "three hundred eighty-seven trillion, eight hundred eighty-seven billion, one hundred seventeen million, three hundred seventy-two thousand, three hundred sixty-one".