36181839801816 has 128 divisors (see below), whose sum is σ = 100871106494400. Its totient is φ = 12016700881920.

The previous prime is 36181839801727. The next prime is 36181839801841. The reversal of 36181839801816 is 61810893818163.

36181839801816 is a `hidden beast` number, since 3 + 61 + 8 + 1 + 8 + 398 + 0 + 181 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1308409846 + ... + 1308437498.

Almost surely, 2^{36181839801816} is an apocalyptic number.

36181839801816 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 36181839801816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50435553247200).

36181839801816 is an abundant number, since it is smaller than the sum of its proper divisors (64689266692584).

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

36181839801816 is a wasteful number, since it uses less digits than its factorization.

36181839801816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49506 (or 49496 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 36181839801816 in words is "thirty-six trillion, one hundred eighty-one billion, eight hundred thirty-nine million, eight hundred one thousand, eight hundred sixteen".