32829819000352 has 24 divisors (see below), whose sum is σ = 70509497626512. Its totient is φ = 14922645000000.

The previous prime is 32829819000313. The next prime is 32829819000373. The reversal of 32829819000352 is 25300091892823.

It is a super-2 number, since 2×32829819000352² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32829819000352.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 46633265274 + ... + 46633265977.

It is an arithmetic number, because the mean of its divisors is an integer number (2937895734438).

Almost surely, 2^{32829819000352} is an apocalyptic number.

32829819000352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32829819000352 is an abundant number, since it is smaller than the sum of its proper divisors (37679678626160).

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

32829819000352 is a wasteful number, since it uses less digits than its factorization.

32829819000352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93266531272 (or 93266531264 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 32829819000352 in words is "thirty-two trillion, eight hundred twenty-nine billion, eight hundred nineteen million, three hundred fifty-two", and thus it is an aban number.