36688963262112 has 864 divisors, whose sum is σ = 134326145221632. Its totient is φ = 9420722454528.

The previous prime is 36688963262087. The next prime is 36688963262141. The reversal of 36688963262112 is 21126236988663.

36688963262112 is a `hidden beast` number, since 3 + 6 + 6 + 8 + 8 + 96 + 326 + 211 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 36688963262112.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3382401073 + ... + 3382411919.

It is an arithmetic number, because the mean of its divisors is an integer number (155470075488).

Almost surely, 2^{36688963262112} is an apocalyptic number.

36688963262112 is a gapful number since it is divisible by the number (32) 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 36688963262112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67163072610816).

36688963262112 is an abundant number, since it is smaller than the sum of its proper divisors (97637181959520).

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

36688963262112 is a wasteful number, since it uses less digits than its factorization.

36688963262112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11530 (or 11512 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 36688963262112 in words is "thirty-six trillion, six hundred eighty-eight billion, nine hundred sixty-three million, two hundred sixty-two thousand, one hundred twelve".