36846749926656 has 288 divisors, whose sum is σ = 109511181964800. Its totient is φ = 12220492677120.

The previous prime is 36846749926601. The next prime is 36846749926667. The reversal of 36846749926656 is 65662994764863.

36846749926656 is a `hidden beast` number, since 3 + 6 + 8 + 4 + 67 + 499 + 2 + 6 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 1618274440 + ... + 1618297208.

It is an arithmetic number, because the mean of its divisors is an integer number (380247159600).

Almost surely, 2^{36846749926656} is an apocalyptic number.

36846749926656 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 36846749926656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54755590982400).

36846749926656 is an abundant number, since it is smaller than the sum of its proper divisors (72664432038144).

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

36846749926656 is a wasteful number, since it uses less digits than its factorization.

36846749926656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23962 (or 23942 counting only the distinct ones).

The product of its digits is 16930529280, while the sum is 81.

The spelling of 36846749926656 in words is "thirty-six trillion, eight hundred forty-six billion, seven hundred forty-nine million, nine hundred twenty-six thousand, six hundred fifty-six".