187693431696 has 135 divisors (see below), whose sum is σ = 533180907441. Its totient is φ = 61637352192.

The previous prime is 187693431677. The next prime is 187693431703. The reversal of 187693431696 is 696134396781.

The square root of 187693431696 is 433236.

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

187693431696 is a `hidden beast` number, since 1 + 87 + 69 + 3 + 431 + 69 + 6 = 666.

187693431696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 162328410000 + 25365021696 = 402900^2 + 159264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 410707500 + ... + 410707956.

Almost surely, 2^187693431696 is an apocalyptic number.

187693431696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

187693431696 is the 433236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 187693431696

187693431696 is an abundant number, since it is smaller than the sum of its proper divisors (345487475745).

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

187693431696 is an frugal number, since it uses more digits than its factorization.

187693431696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 541 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 187693431696 in words is "one hundred eighty-seven billion, six hundred ninety-three million, four hundred thirty-one thousand, six hundred ninety-six".