3293054446968 has 864 divisors, whose sum is σ = 10907688355200. Its totient is φ = 896134187520.

The previous prime is 3293054446967. The next prime is 3293054446987. The reversal of 3293054446968 is 8696444503923.

3293054446968 is a `hidden beast` number, since 3 + 29 + 3 + 0 + 544 + 4 + 6 + 9 + 68 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3293054446967) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 14506847671 + ... + 14506847897.

It is an arithmetic number, because the mean of its divisors is an integer number (12624639300).

Almost surely, 2^{3293054446968} 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 3293054446968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5453844177600).

3293054446968 is an abundant number, since it is smaller than the sum of its proper divisors (7614633908232).

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

3293054446968 is a wasteful number, since it uses less digits than its factorization.

3293054446968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 3293054446968 in words is "three trillion, two hundred ninety-three billion, fifty-four million, four hundred forty-six thousand, nine hundred sixty-eight".