32985348833281 has 64 divisors (see below), whose sum is σ = 40133119574016. Its totient is φ = 26839468972800.

The previous prime is 32985348833279. The next prime is 32985348833287. The reversal of 32985348833281 is 18233884358923.

It is not a de Polignac number, because 32985348833281 - 2¹ = 32985348833279 is a prime.

It is a super-2 number, since 2×32985348833281² (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 (32985348833287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15095596 + ... + 17141986.

It is an arithmetic number, because the mean of its divisors is an integer number (627079993344).

It is a Proth number, since it is equal to 15 ⋅ 2⁴¹ + 1 and 15 < 2⁴¹.

Almost surely, 2^{32985348833281} is an apocalyptic number.

32985348833281 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

32985348833281 is a deficient number, since it is larger than the sum of its proper divisors (7147770740735).

32985348833281 is a wasteful number, since it uses less digits than its factorization.

32985348833281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046542.

The product of its digits is 238878720, while the sum is 67.

The spelling of 32985348833281 in words is "thirty-two trillion, nine hundred eighty-five billion, three hundred forty-eight million, eight hundred thirty-three thousand, two hundred eighty-one".