368541145863 has 32 divisors (see below), whose sum is σ = 621518676480. Its totient is φ = 213647037120.

The previous prime is 368541145853. The next prime is 368541145867.

It is a happy number.

368541145863 is a `hidden beast` number, since 3 + 6 + 8 + 5 + 41 + 14 + 586 + 3 = 666.

368541145863 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 368541145863 - 2⁸ = 368541145607 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368541145867) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26968806 + ... + 26982467.

It is an arithmetic number, because the mean of its divisors is an integer number (19422458640).

Almost surely, 2^368541145863 is an apocalyptic number.

368541145863 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

368541145863 is a deficient number, since it is larger than the sum of its proper divisors (252977530617).

368541145863 is a wasteful number, since it uses less digits than its factorization.

368541145863 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53951316 (or 53951310 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 368541145863 in words is "three hundred sixty-eight billion, five hundred forty-one million, one hundred forty-five thousand, eight hundred sixty-three".