361516354465311 has 48 divisors (see below), whose sum is σ = 563694534374400. Its totient is φ = 222578493377856.

The previous prime is 361516354465261. The next prime is 361516354465351. The reversal of 361516354465311 is 113564453615163.

361516354465311 is a `hidden beast` number, since 3 + 6 + 1 + 5 + 1 + 6 + 3 + 544 + 65 + 31 + 1 = 666.

It is not a de Polignac number, because 361516354465311 - 2⁷ = 361516354465183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361516354465351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326268250 + ... + 327374408.

It is an arithmetic number, because the mean of its divisors is an integer number (11743636132800).

Almost surely, 2^{361516354465311} is an apocalyptic number.

361516354465311 is a deficient number, since it is larger than the sum of its proper divisors (202178179909089).

361516354465311 is a wasteful number, since it uses less digits than its factorization.

361516354465311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160660 (or 1160657 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 54.

The spelling of 361516354465311 in words is "three hundred sixty-one trillion, five hundred sixteen billion, three hundred fifty-four million, four hundred sixty-five thousand, three hundred eleven".