36412013123164 has 72 divisors (see below), whose sum is σ = 78510909204000. Its totient is φ = 14682297176064.

The previous prime is 36412013123089. The next prime is 36412013123179. The reversal of 36412013123164 is 46132131021463.

36412013123164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8170732 + ... + 11814604.

It is an arithmetic number, because the mean of its divisors is an integer number (1090429294500).

Almost surely, 2^{36412013123164} is an apocalyptic number.

36412013123164 is a gapful number since it is divisible by the number (34) 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 36412013123164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39255454602000).

36412013123164 is an abundant number, since it is smaller than the sum of its proper divisors (42098896080836).

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

36412013123164 is a wasteful number, since it uses less digits than its factorization.

36412013123164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646907 (or 3646898 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 36412013123164 in words is "thirty-six trillion, four hundred twelve billion, thirteen million, one hundred twenty-three thousand, one hundred sixty-four".