32841297022464 has 960 divisors, whose sum is σ = 116013786071040. Its totient is φ = 8741572116480.

The previous prime is 32841297022427. The next prime is 32841297022477. The reversal of 32841297022464 is 46422079214823.

32841297022464 is a `hidden beast` number, since 3 + 2 + 84 + 12 + 9 + 70 + 22 + 464 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 32841297022464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11106287674 + ... + 11106290630.

It is an arithmetic number, because the mean of its divisors is an integer number (120847693824).

Almost surely, 2^{32841297022464} 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 32841297022464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58006893035520).

32841297022464 is an abundant number, since it is smaller than the sum of its proper divisors (83172489048576).

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

32841297022464 is a wasteful number, since it uses less digits than its factorization.

32841297022464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3431 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 32841297022464 in words is "thirty-two trillion, eight hundred forty-one billion, two hundred ninety-seven million, twenty-two thousand, four hundred sixty-four".