36142329168 has 160 divisors (see below), whose sum is σ = 118093870080. Its totient is φ = 10476005760.

The previous prime is 36142329121. The next prime is 36142329217. The reversal of 36142329168 is 86192324163.

36142329168 is a `hidden beast` number, since 3 + 61 + 423 + 2 + 9 + 168 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56046 + ... + 274637.

It is an arithmetic number, because the mean of its divisors is an integer number (738086688).

Almost surely, 2^36142329168 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 36142329168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59046935040).

36142329168 is an abundant number, since it is smaller than the sum of its proper divisors (81951540912).

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

36142329168 is a wasteful number, since it uses less digits than its factorization.

36142329168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330734 (or 330722 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 36142329168 in words is "thirty-six billion, one hundred forty-two million, three hundred twenty-nine thousand, one hundred sixty-eight".