851188914801 has 45 divisors (see below), whose sum is σ = 1329514939291. Its totient is φ = 542665351008.

The previous prime is 851188914791. The next prime is 851188914853. The reversal of 851188914801 is 108419881158.

The square root of 851188914801 is 922599.

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

851188914801 is a `hidden beast` number, since 8 + 511 + 8 + 89 + 1 + 48 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 597753191025 + 253435723776 = 773145^2 + 503424^2 .

It is not a de Polignac number, because 851188914801 - 2¹⁹ = 851188390513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (851188910801) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 190975765 + ... + 190980221.

Almost surely, 2^851188914801 is an apocalyptic number.

851188914801 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

851188914801 is the 922599-th square number.

851188914801 is the 461300-th centered octagonal number.

It is an amenable number.

851188914801 is a deficient number, since it is larger than the sum of its proper divisors (478326024490).

851188914801 is an frugal number, since it uses more digits than its factorization.

851188914801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8972 (or 4483 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 54.

The spelling of 851188914801 in words is "eight hundred fifty-one billion, one hundred eighty-eight million, nine hundred fourteen thousand, eight hundred one".