36163998163872 has 144 divisors (see below), whose sum is σ = 103169020860360. Its totient is φ = 12016303718400.

The previous prime is 36163998163849. The next prime is 36163998163889. The reversal of 36163998163872 is 27836189936163.

36163998163872 is a `hidden beast` number, since 3 + 6 + 1 + 6 + 399 + 8 + 163 + 8 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33137108042256 + 3026890121616 = 5756484^2 + 1739796^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 36163998163872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160202122 + ... + 160427702.

Almost surely, 2^{36163998163872} is an apocalyptic number.

36163998163872 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 36163998163872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51584510430180).

36163998163872 is an abundant number, since it is smaller than the sum of its proper divisors (67005022696488).

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

36163998163872 is a wasteful number, since it uses less digits than its factorization.

36163998163872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227367 (or 227356 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 72.

The spelling of 36163998163872 in words is "thirty-six trillion, one hundred sixty-three billion, nine hundred ninety-eight million, one hundred sixty-three thousand, eight hundred seventy-two".