36735866464144 has 45 divisors (see below), whose sum is σ = 71293603004827. Its totient is φ = 18337567561952.

The previous prime is 36735866464111. The next prime is 36735866464147. The reversal of 36735866464144 is 44146466853763.

It is a happy number.

The square root of 36735866464144 is 6061012.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36735866464144.

It is not an unprimeable number, because it can be changed into a prime (36735866464147) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24704684169 + ... + 24704685655.

Almost surely, 2^{36735866464144} is an apocalyptic number.

36735866464144 is the 6061012-nd square number.

It is an amenable number.

36735866464144 is a deficient number, since it is larger than the sum of its proper divisors (34557736540683).

36735866464144 is an frugal number, since it uses more digits than its factorization.

36735866464144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5020 (or 2508 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 67.

The spelling of 36735866464144 in words is "thirty-six trillion, seven hundred thirty-five billion, eight hundred sixty-six million, four hundred sixty-four thousand, one hundred forty-four".