32340106116864 has 2592 divisors, whose sum is σ = 127767784435200. Its totient is φ = 7965410918400.

The previous prime is 32340106116863. The next prime is 32340106116869. The reversal of 32340106116864 is 46861160104323.

32340106116864 is a `hidden beast` number, since 3 + 23 + 4 + 0 + 1 + 0 + 611 + 6 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32340106116863) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 141223170702 + ... + 141223170930.

Almost surely, 2^{32340106116864} 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 32340106116864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63883892217600).

32340106116864 is an abundant number, since it is smaller than the sum of its proper divisors (95427678318336).

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

32340106116864 is a wasteful number, since it uses less digits than its factorization.

32340106116864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 32340106116864 in words is "thirty-two trillion, three hundred forty billion, one hundred six million, one hundred sixteen thousand, eight hundred sixty-four".