36121638576384 has 135 divisors (see below), whose sum is σ = 107710771038717. Its totient is φ = 12040257705984.

The previous prime is 36121638576347. The next prime is 36121638576407. The reversal of 36121638576384 is 48367583612163.

The square root of 36121638576384 is 6010128.

It is a perfect power (a square), and thus also a powerful number.

36121638576384 is a `hidden beast` number, since 3 + 6 + 1 + 21 + 6 + 3 + 8 + 576 + 38 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35703971078400 + 417667497984 = 5975280^2 + 646272^2 .

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 865437564 + ... + 865479300.

Almost surely, 2^{36121638576384} is an apocalyptic number.

36121638576384 is the 6010128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36121638576384

36121638576384 is an abundant number, since it is smaller than the sum of its proper divisors (71589132462333).

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

36121638576384 is an frugal number, since it uses more digits than its factorization.

36121638576384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83502 (or 41742 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

It can be divided in two parts, 361216 and 38576384, that added together give a square (38937600 = 6240²).

The spelling of 36121638576384 in words is "thirty-six trillion, one hundred twenty-one billion, six hundred thirty-eight million, five hundred seventy-six thousand, three hundred eighty-four".