36941516460288 has 1080 divisors, whose sum is σ = 123735732230880. Its totient is φ = 10950554419200.

The previous prime is 36941516460281. The next prime is 36941516460337. The reversal of 36941516460288 is 88206461514963.

36941516460288 is a `hidden beast` number, since 3 + 6 + 9 + 4 + 1 + 5 + 16 + 4 + 602 + 8 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (36941516460281) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 38044815643 + ... + 38044816613.

It is an arithmetic number, because the mean of its divisors is an integer number (114570122436).

Almost surely, 2^{36941516460288} 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 36941516460288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61867866115440).

36941516460288 is an abundant number, since it is smaller than the sum of its proper divisors (86794215770592).

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

36941516460288 is a wasteful number, since it uses less digits than its factorization.

36941516460288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 36941516460288 in words is "thirty-six trillion, nine hundred forty-one billion, five hundred sixteen million, four hundred sixty thousand, two hundred eighty-eight".