187742823849 has 81 divisors (see below), whose sum is σ = 323049603357. Its totient is φ = 104759848368.

The previous prime is 187742823803. The next prime is 187742823893. The reversal of 187742823849 is 948328247781.

The square root of 187742823849 is 433293.

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

187742823849 is a `hidden beast` number, since 187 + 7 + 428 + 23 + 8 + 4 + 9 = 666.

187742823849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 187742823849 - 2¹³ = 187742815657 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (187742823349) 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 80 ways as a sum of consecutive naturals, for example, 427659972 + ... + 427660410.

Almost surely, 2^187742823849 is an apocalyptic number.

187742823849 is the 433293-rd square number.

187742823849 is the 216647-th centered octagonal number.

It is an amenable number.

187742823849 is a deficient number, since it is larger than the sum of its proper divisors (135306779508).

187742823849 is an frugal number, since it uses more digits than its factorization.

187742823849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 496 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 187742823849 in words is "one hundred eighty-seven billion, seven hundred forty-two million, eight hundred twenty-three thousand, eight hundred forty-nine".