36543811188816 has 120 divisors (see below), whose sum is σ = 105847929108480. Its totient is φ = 11755735504128.

The previous prime is 36543811188791. The next prime is 36543811188847. The reversal of 36543811188816 is 61888111834563.

It is a happy number.

36543811188816 is a `hidden beast` number, since 3 + 6 + 5 + 438 + 1 + 1 + 188 + 8 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6907425 + ... + 10990911.

It is an arithmetic number, because the mean of its divisors is an integer number (882066075904).

Almost surely, 2^{36543811188816} is an apocalyptic number.

36543811188816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36543811188816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52923964554240).

36543811188816 is an abundant number, since it is smaller than the sum of its proper divisors (69304117919664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36543811188816 is a wasteful number, since it uses less digits than its factorization.

36543811188816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4085673 (or 4085664 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 63.

The spelling of 36543811188816 in words is "thirty-six trillion, five hundred forty-three billion, eight hundred eleven million, one hundred eighty-eight thousand, eight hundred sixteen".