2116736919801 has 81 divisors (see below), whose sum is σ = 3685110286221. Its totient is φ = 1167366005568.

The previous prime is 2116736919761. The next prime is 2116736919863. The reversal of 2116736919801 is 1089196376112.

The square root of 2116736919801 is 1454901.

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

2116736919801 is a `hidden beast` number, since 211 + 67 + 369 + 1 + 9 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 144172849401 + 1972564070400 = 379701^2 + 1404480^2 .

It is not a de Polignac number, because 2116736919801 - 2⁷ = 2116736919673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2116736919001) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 886033515 + ... + 886035903.

Almost surely, 2^{2116736919801} is an apocalyptic number.

2116736919801 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2116736919801 is the 1454901-st square number.

2116736919801 is the 727451-st centered octagonal number.

It is an amenable number.

2116736919801 is a deficient number, since it is larger than the sum of its proper divisors (1568373366420).

2116736919801 is an frugal number, since it uses more digits than its factorization.

2116736919801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4856 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 2116736919801 in words is "two trillion, one hundred sixteen billion, seven hundred thirty-six million, nine hundred nineteen thousand, eight hundred one".