36116180964864 has 1600 divisors, whose sum is σ = 146034628185600. Its totient is φ = 8581479137280.

The previous prime is 36116180964833. The next prime is 36116180964883. The reversal of 36116180964864 is 46846908161163.

It is a happy number.

36116180964864 is a `hidden beast` number, since 3 + 6 + 1 + 1 + 61 + 8 + 0 + 96 + 486 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4691018487 + ... + 4691026185.

It is an arithmetic number, because the mean of its divisors is an integer number (91271642616).

Almost surely, 2^{36116180964864} 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 36116180964864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73017314092800).

36116180964864 is an abundant number, since it is smaller than the sum of its proper divisors (109918447220736).

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

36116180964864 is a wasteful number, since it uses less digits than its factorization.

36116180964864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7873 (or 7848 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 36116180964864 in words is "thirty-six trillion, one hundred sixteen billion, one hundred eighty million, nine hundred sixty-four thousand, eight hundred sixty-four".