36182145360 has 320 divisors, whose sum is σ = 122163609600. Its totient is φ = 8828891136.

The previous prime is 36182145343. The next prime is 36182145361. The reversal of 36182145360 is 6354128163.

36182145360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36182145361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16930212 + ... + 16932348.

It is an arithmetic number, because the mean of its divisors is an integer number (381761280).

Almost surely, 2^36182145360 is an apocalyptic number.

36182145360 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 36182145360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61081804800).

36182145360 is an abundant number, since it is smaller than the sum of its proper divisors (85981464240).

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

36182145360 is a wasteful number, since it uses less digits than its factorization.

36182145360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 36182145360 in words is "thirty-six billion, one hundred eighty-two million, one hundred forty-five thousand, three hundred sixty".