36656857152 has 168 divisors, whose sum is σ = 109306290912. Its totient is φ = 12180326400.

The previous prime is 36656857129. The next prime is 36656857267. The reversal of 36656857152 is 25175865663.

It is a happy number.

36656857152 is a `hidden beast` number, since 3 + 6 + 6 + 5 + 68 + 571 + 5 + 2 = 666.

It is a super-2 number, since 2×36656857152² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5144152 + ... + 5151272.

It is an arithmetic number, because the mean of its divisors is an integer number (650632684).

Almost surely, 2^36656857152 is an apocalyptic number.

36656857152 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 36656857152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54653145456).

36656857152 is an abundant number, since it is smaller than the sum of its proper divisors (72649433760).

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

36656857152 is an equidigital number, since it uses as much as digits as its factorization.

36656857152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7479 (or 7457 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 36656857152 in words is "thirty-six billion, six hundred fifty-six million, eight hundred fifty-seven thousand, one hundred fifty-two".