36883153094832 has 960 divisors, whose sum is σ = 122701746585600. Its totient is φ = 10625784560640.

The previous prime is 36883153094791. The next prime is 36883153094833. The reversal of 36883153094832 is 23849035138863.

It is a happy number.

36883153094832 is a `hidden beast` number, since 3 + 6 + 8 + 8 + 3 + 1 + 530 + 94 + 8 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 36883153094832.

It is not an unprimeable number, because it can be changed into a prime (36883153094833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16711894273 + ... + 16711896479.

It is an arithmetic number, because the mean of its divisors is an integer number (127814319360).

Almost surely, 2^{36883153094832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36883153094832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61350873292800).

36883153094832 is an abundant number, since it is smaller than the sum of its proper divisors (85818593490768).

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

36883153094832 is a wasteful number, since it uses less digits than its factorization.

36883153094832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 36883153094832 in words is "thirty-six trillion, eight hundred eighty-three billion, one hundred fifty-three million, ninety-four thousand, eight hundred thirty-two".