36693937150848 has 1152 divisors, whose sum is σ = 116643294069120. Its totient is φ = 11059677978624.

The previous prime is 36693937150807. The next prime is 36693937150921. The reversal of 36693937150848 is 84805173939663.

36693937150848 is a `hidden beast` number, since 3 + 6 + 6 + 9 + 3 + 9 + 3 + 71 + 508 + 48 = 666.

36693937150848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 161647300111 + ... + 161647300337.

It is an arithmetic number, because the mean of its divisors is an integer number (101252859435).

Almost surely, 2^{36693937150848} 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 36693937150848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58321647034560).

36693937150848 is an abundant number, since it is smaller than the sum of its proper divisors (79949356918272).

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

36693937150848 is a wasteful number, since it uses less digits than its factorization.

36693937150848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 36693937150848 in words is "thirty-six trillion, six hundred ninety-three billion, nine hundred thirty-seven million, one hundred fifty thousand, eight hundred forty-eight".