2986326153801 has 45 divisors (see below), whose sum is σ = 4493324481591. Its totient is φ = 1976585811408.

The previous prime is 2986326153793. The next prime is 2986326153803. The reversal of 2986326153801 is 1083516236892.

The square root of 2986326153801 is 1728099.

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

2986326153801 is a `hidden beast` number, since 2 + 9 + 86 + 3 + 26 + 1 + 538 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 875338004025 + 2110988149776 = 935595^2 + 1452924^2 .

It is not a de Polignac number, because 2986326153801 - 2³ = 2986326153793 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2986326153803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2441803276 + ... + 2441804498.

Almost surely, 2^{2986326153801} is an apocalyptic number.

2986326153801 is the 1728099-th square number.

2986326153801 is the 864050-th centered octagonal number.

It is an amenable number.

2986326153801 is a deficient number, since it is larger than the sum of its proper divisors (1506998327790).

2986326153801 is an frugal number, since it uses more digits than its factorization.

2986326153801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 2986326153801 in words is "two trillion, nine hundred eighty-six billion, three hundred twenty-six million, one hundred fifty-three thousand, eight hundred one".