3468789144192 has 64 divisors (see below), whose sum is σ = 9254207080800. Its totient is φ = 1151213835264.

The previous prime is 3468789144151. The next prime is 3468789144209. The reversal of 3468789144192 is 2914419878643.

3468789144192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19635438 + ... + 19811309.

Almost surely, 2^{3468789144192} is an apocalyptic number.

3468789144192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3468789144192 is an abundant number, since it is smaller than the sum of its proper divisors (5785417936608).

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

3468789144192 is a wasteful number, since it uses less digits than its factorization.

3468789144192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39446993 (or 39446981 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 66.

The spelling of 3468789144192 in words is "three trillion, four hundred sixty-eight billion, seven hundred eighty-nine million, one hundred forty-four thousand, one hundred ninety-two".