187735596368896 has 33 divisors (see below), whose sum is σ = 375288733674829. Its totient is φ = 93867578957824.

The previous prime is 187735596368891. The next prime is 187735596368909. The reversal of 187735596368896 is 698863695537781.

The square root of 187735596368896 is 13701664.

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., 638720640000 + 187096875728896 = 799200^2 + 13678336^2 .

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 187735596368896.

It is not an unprimeable number, because it can be changed into a prime (187735596368891) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 438239160 + ... + 438667336.

Almost surely, 2^{187735596368896} is an apocalyptic number.

187735596368896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

187735596368896 is the 13701664-th square number.

It is an amenable number.

187735596368896 is a deficient number, since it is larger than the sum of its proper divisors (187553137305933).

187735596368896 is an frugal number, since it uses more digits than its factorization.

187735596368896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856374 (or 428179 counting only the distinct ones).

The product of its digits is 98761420800, while the sum is 91.

The spelling of 187735596368896 in words is "one hundred eighty-seven trillion, seven hundred thirty-five billion, five hundred ninety-six million, three hundred sixty-eight thousand, eight hundred ninety-six".