36109518471168 has 256 divisors, whose sum is σ = 97210722551040. Its totient is φ = 11922008702976.

The previous prime is 36109518471167. The next prime is 36109518471181. The reversal of 36109518471168 is 86117481590163.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36109518471167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4810109271 + ... + 4810116777.

It is an arithmetic number, because the mean of its divisors is an integer number (379729384965).

Almost surely, 2^{36109518471168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36109518471168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48605361275520).

36109518471168 is an abundant number, since it is smaller than the sum of its proper divisors (61101204079872).

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

36109518471168 is an equidigital number, since it uses as much as digits as its factorization.

36109518471168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8000 (or 7972 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 60.

The spelling of 36109518471168 in words is "thirty-six trillion, one hundred nine billion, five hundred eighteen million, four hundred seventy-one thousand, one hundred sixty-eight".