32890982068224 has 1248 divisors, whose sum is σ = 119555704944000. Its totient is φ = 8494824554496.

The previous prime is 32890982068199. The next prime is 32890982068247. The reversal of 32890982068224 is 42286028909823.

32890982068224 is a `hidden beast` number, since 32 + 8 + 90 + 98 + 206 + 8 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29132844492 + ... + 29132845620.

It is an arithmetic number, because the mean of its divisors is an integer number (95797840500).

Almost surely, 2^{32890982068224} is an apocalyptic number.

32890982068224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32890982068224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59777852472000).

32890982068224 is an abundant number, since it is smaller than the sum of its proper divisors (86664722875776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32890982068224 is a wasteful number, since it uses less digits than its factorization.

32890982068224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 32890982068224 in words is "thirty-two trillion, eight hundred ninety billion, nine hundred eighty-two million, sixty-eight thousand, two hundred twenty-four".