3193401694464 has 288 divisors, whose sum is σ = 9541520199680. Its totient is φ = 1053455155200.

The previous prime is 3193401694447. The next prime is 3193401694471. The reversal of 3193401694464 is 4644961043913.

3193401694464 is a `hidden beast` number, since 3 + 1 + 9 + 34 + 0 + 169 + 446 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3193401694464.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369559584 + ... + 369568224.

Almost surely, 2^{3193401694464} 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 3193401694464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4770760099840).

3193401694464 is an abundant number, since it is smaller than the sum of its proper divisors (6348118505216).

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

3193401694464 is a wasteful number, since it uses less digits than its factorization.

3193401694464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9214 (or 9194 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 3193401694464 in words is "three trillion, one hundred ninety-three billion, four hundred one million, six hundred ninety-four thousand, four hundred sixty-four".