187009563420736 has 63 divisors (see below), whose sum is σ = 431686152203439. Its totient is φ = 80146627548288.

The previous prime is 187009563420731. The next prime is 187009563420739. The reversal of 187009563420736 is 637024365900781.

It is a happy number.

The square root of 187009563420736 is 13675144.

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

187009563420736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (187009563420731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 765685965 + ... + 765930163.

It is a 1-persistent number, because it is pandigital, but 2⋅187009563420736 = 374019126841472 is not.

Almost surely, 2^{187009563420736} is an apocalyptic number.

187009563420736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

187009563420736 is the 13675144-th square number.

It is an amenable number.

187009563420736 is an abundant number, since it is smaller than the sum of its proper divisors (244676588782703).

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

187009563420736 is an frugal number, since it uses more digits than its factorization.

187009563420736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488424 (or 244208 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 61.

The spelling of 187009563420736 in words is "one hundred eighty-seven trillion, nine billion, five hundred sixty-three million, four hundred twenty thousand, seven hundred thirty-six".