36230141360160 has 288 divisors, whose sum is σ = 135263644431552. Its totient is φ = 8757751818240.

The previous prime is 36230141360143. The next prime is 36230141360167. The reversal of 36230141360160 is 6106314103263.

36230141360160 is a `hidden beast` number, since 3 + 6 + 2 + 3 + 0 + 1 + 41 + 3 + 601 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36230141360167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2200722 + ... + 8792238.

It is an arithmetic number, because the mean of its divisors is an integer number (469665432054).

Almost surely, 2^{36230141360160} is an apocalyptic number.

36230141360160 is a gapful number since it is divisible by the number (30) 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 36230141360160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67631822215776).

36230141360160 is an abundant number, since it is smaller than the sum of its proper divisors (99033503071392).

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

36230141360160 is a wasteful number, since it uses less digits than its factorization.

36230141360160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6591896 (or 6591885 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 36230141360160 in words is "thirty-six trillion, two hundred thirty billion, one hundred forty-one million, three hundred sixty thousand, one hundred sixty".