32846086552272 has 320 divisors, whose sum is σ = 106981486080000. Its totient is φ = 8466974613504.

The previous prime is 32846086552229. The next prime is 32846086552333. The reversal of 32846086552272 is 27225568064823.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33136104 + ... + 34112952.

It is an arithmetic number, because the mean of its divisors is an integer number (334317144000).

Almost surely, 2^{32846086552272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32846086552272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53490743040000).

32846086552272 is an abundant number, since it is smaller than the sum of its proper divisors (74135399527728).

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

32846086552272 is a wasteful number, since it uses less digits than its factorization.

32846086552272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977138 (or 977132 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 60.

The spelling of 32846086552272 in words is "thirty-two trillion, eight hundred forty-six billion, eighty-six million, five hundred fifty-two thousand, two hundred seventy-two".