36896533147656 has 256 divisors, whose sum is σ = 126151435468800. Its totient is φ = 9730225440000.

The previous prime is 36896533147631. The next prime is 36896533147679. The reversal of 36896533147656 is 65674133569863.

36896533147656 is a `hidden beast` number, since 3 + 6 + 8 + 9 + 6 + 533 + 14 + 76 + 5 + 6 = 666.

It is a super-2 number, since 2×36896533147656² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 293814081 + ... + 293939631.

It is an arithmetic number, because the mean of its divisors is an integer number (492779044800).

Almost surely, 2^{36896533147656} is an apocalyptic number.

36896533147656 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 36896533147656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63075717734400).

36896533147656 is an abundant number, since it is smaller than the sum of its proper divisors (89254902321144).

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

36896533147656 is a wasteful number, since it uses less digits than its factorization.

36896533147656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140537 (or 140527 counting only the distinct ones).

The product of its digits is 1763596800, while the sum is 72.

The spelling of 36896533147656 in words is "thirty-six trillion, eight hundred ninety-six billion, five hundred thirty-three million, one hundred forty-seven thousand, six hundred fifty-six".