36113096388096 has 960 divisors, whose sum is σ = 140964090220800. Its totient is φ = 9023010619392.

The previous prime is 36113096388067. The next prime is 36113096388101. The reversal of 36113096388096 is 69088369031163.

36113096388096 is a `hidden beast` number, since 3 + 611 + 3 + 0 + 9 + 6 + 3 + 8 + 8 + 0 + 9 + 6 = 666.

It is a super-2 number, since 2×36113096388096² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167203951 + ... + 167419793.

It is an arithmetic number, because the mean of its divisors is an integer number (146837593980).

Almost surely, 2^{36113096388096} is an apocalyptic number.

36113096388096 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 36113096388096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70482045110400).

36113096388096 is an abundant number, since it is smaller than the sum of its proper divisors (104850993832704).

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

36113096388096 is a wasteful number, since it uses less digits than its factorization.

36113096388096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215916 (or 215887 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 36113096388096 in words is "thirty-six trillion, one hundred thirteen billion, ninety-six million, three hundred eighty-eight thousand, ninety-six".