36013783168 has 256 divisors, whose sum is σ = 86739984000. Its totient is φ = 14708736000.

The previous prime is 36013783151. The next prime is 36013783177. The reversal of 36013783168 is 86138731063.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47323908 + ... + 47324668.

Almost surely, 2^36013783168 is an apocalyptic number.

36013783168 is a gapful number since it is divisible by the number (38) 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 36013783168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43369992000).

36013783168 is an abundant number, since it is smaller than the sum of its proper divisors (50726200832).

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

36013783168 is a wasteful number, since it uses less digits than its factorization.

36013783168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 36013783168 in words is "thirty-six billion, thirteen million, seven hundred eighty-three thousand, one hundred sixty-eight".