187606466696401 has 9 divisors (see below), whose sum is σ = 199291545883291. Its totient is φ = 176570573033632.

The previous prime is 187606466696393. The next prime is 187606466696443. The reversal of 187606466696401 is 104696664606781.

The square root of 187606466696401 is 13696951.

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., 146060397947025 + 41546068749376 = 12085545^2 + 6445624^2 .

It is not a de Polignac number, because 187606466696401 - 2³ = 187606466696393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (187606466696101) 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, 232445316 + ... + 233251018.

Almost surely, 2^{187606466696401} is an apocalyptic number.

187606466696401 is the 13696951-st square number.

187606466696401 is the 6848476-th centered octagonal number.

It is an amenable number.

187606466696401 is a deficient number, since it is larger than the sum of its proper divisors (11685079186890).

187606466696401 is an frugal number, since it uses more digits than its factorization.

187606466696401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611440 (or 805720 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 70.

The spelling of 187606466696401 in words is "one hundred eighty-seven trillion, six hundred six billion, four hundred sixty-six million, six hundred ninety-six thousand, four hundred one".