3232246505664 has 336 divisors, whose sum is σ = 10326451605120. Its totient is φ = 881767096320.

The previous prime is 3232246505633. The next prime is 3232246505671. The reversal of 3232246505664 is 4665056422323.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18908127 + ... + 19078305.

It is an arithmetic number, because the mean of its divisors is an integer number (30733486920).

Almost surely, 2^{3232246505664} is an apocalyptic number.

3232246505664 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 3232246505664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163225802560).

3232246505664 is an abundant number, since it is smaller than the sum of its proper divisors (7094205099456).

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

3232246505664 is a wasteful number, since it uses less digits than its factorization.

3232246505664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170268 (or 170235 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 48.

The spelling of 3232246505664 in words is "three trillion, two hundred thirty-two billion, two hundred forty-six million, five hundred five thousand, six hundred sixty-four".