187865428372801 has 3 divisors (see below), whose sum is σ = 187865442079203. Its totient is φ = 187865414666400.

The previous prime is 187865428372793. The next prime is 187865428372819. The reversal of 187865428372801 is 108273824568781.

The square root of 187865428372801 is 13706401.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 23876914732801 + 163988513640000 = 4886401^2 + 12805800^2 .

It is not a de Polignac number, because 187865428372801 - 2³ = 187865428372793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (187865428372861) 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, 6853201 + ... + 20559601.

It is an arithmetic number, because the mean of its divisors is an integer number (62621814026401).

Almost surely, 2^{187865428372801} is an apocalyptic number.

187865428372801 is the 13706401-st square number.

187865428372801 is the 6853201-st centered octagonal number.

It is an amenable number.

187865428372801 is a deficient number, since it is larger than the sum of its proper divisors (13706402).

187865428372801 is an frugal number, since it uses more digits than its factorization.

187865428372801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27412802 (or 13706401 counting only the distinct ones).

The product of its (nonzero) digits is 289013760, while the sum is 70.

The spelling of 187865428372801 in words is "one hundred eighty-seven trillion, eight hundred sixty-five billion, four hundred twenty-eight million, three hundred seventy-two thousand, eight hundred one".