36198156442032 has 800 divisors, whose sum is σ = 127927532113920. Its totient is φ = 9767280568320.

The previous prime is 36198156442027. The next prime is 36198156442043. The reversal of 36198156442032 is 23024465189163.

It is a happy number.

36198156442032 is a `hidden beast` number, since 3 + 6 + 1 + 9 + 8 + 1 + 564 + 42 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 36198156442032.

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 159 ways as a sum of consecutive naturals, for example, 228160558 + ... + 228319154.

Almost surely, 2^{36198156442032} 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 36198156442032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63963766056960).

36198156442032 is an abundant number, since it is smaller than the sum of its proper divisors (91729375671888).

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

36198156442032 is a wasteful number, since it uses less digits than its factorization.

36198156442032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158703 (or 158688 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 36198156442032 in words is "thirty-six trillion, one hundred ninety-eight billion, one hundred fifty-six million, four hundred forty-two thousand, thirty-two".