36685114577748 has 720 divisors, whose sum is σ = 125068992491520. Its totient is φ = 9155659039488.

The previous prime is 36685114577737. The next prime is 36685114577777. The reversal of 36685114577748 is 84777541158663.

It is a happy number.

36685114577748 is a `hidden beast` number, since 3 + 6 + 6 + 8 + 5 + 1 + 1 + 4 + 577 + 7 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8032648161 + ... + 8032652727.

It is an arithmetic number, because the mean of its divisors is an integer number (173706934016).

Almost surely, 2^{36685114577748} is an apocalyptic number.

36685114577748 is a gapful number since it is divisible by the number (38) 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 36685114577748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62534496245760).

36685114577748 is an abundant number, since it is smaller than the sum of its proper divisors (88383877913772).

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

36685114577748 is a wasteful number, since it uses less digits than its factorization.

36685114577748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5738 (or 5714 counting only the distinct ones).

The product of its digits is 948326400, while the sum is 72.

The spelling of 36685114577748 in words is "thirty-six trillion, six hundred eighty-five billion, one hundred fourteen million, five hundred seventy-seven thousand, seven hundred forty-eight".