849752112400 has 45 divisors (see below), whose sum is σ = 2041573744453. Its totient is φ = 339893470400.

The previous prime is 849752112367. The next prime is 849752112401. The reversal of 849752112400 is 4211257948.

The square root of 849752112400 is 921820.

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

It can be written as a sum of positive squares in only one way, i.e., 305910760464 + 543841351936 = 553092^2 + 737456^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (849752112401) 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, 18413355 + ... + 18459445.

Almost surely, 2^849752112400 is an apocalyptic number.

849752112400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

849752112400 is the 921820-th square number.

It is an amenable number.

849752112400 is an abundant number, since it is smaller than the sum of its proper divisors (1191821632053).

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

849752112400 is an frugal number, since it uses more digits than its factorization.

849752112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92200 (or 46098 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 849752112400 in words is "eight hundred forty-nine billion, seven hundred fifty-two million, one hundred twelve thousand, four hundred".