32746674345841 has 9 divisors (see below), whose sum is σ = 33292660467339. Its totient is φ = 32209500270600.

The previous prime is 32746674345811. The next prime is 32746674345899. The reversal of 32746674345841 is 14854347664723.

The square root of 32746674345841 is 5722471.

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., 1064860950241 + 31681813395600 = 1031921^2 + 5628660^2 .

It is not a de Polignac number, because 32746674345841 - 2⁵ = 32746674345809 is a prime.

It is a super-2 number, since 2×32746674345841² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32746674345811) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 349023826 + ... + 349117636.

It is an arithmetic number, because the mean of its divisors is an integer number (3699184496371).

Almost surely, 2^{32746674345841} is an apocalyptic number.

32746674345841 is the 5722471-st square number.

32746674345841 is the 2861236-th centered octagonal number.

It is an amenable number.

32746674345841 is a deficient number, since it is larger than the sum of its proper divisors (545986121498).

32746674345841 is an frugal number, since it uses more digits than its factorization.

32746674345841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187744 (or 93872 counting only the distinct ones).

The product of its digits is 325140480, while the sum is 64.

The spelling of 32746674345841 in words is "thirty-two trillion, seven hundred forty-six billion, six hundred seventy-four million, three hundred forty-five thousand, eight hundred forty-one".