11671834368 has 144 divisors (see below), whose sum is σ = 32844627200. Its totient is φ = 3669442560.

The previous prime is 11671834319. The next prime is 11671834399. The reversal of 11671834368 is 86343817611.

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

Its product of digits (580608) is a multiple of the sum of its prime divisors (3584).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3515013 + ... + 3518331.

Almost surely, 2^11671834368 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 11671834368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16422313600).

11671834368 is an abundant number, since it is smaller than the sum of its proper divisors (21172792832).

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

11671834368 is a wasteful number, since it uses less digits than its factorization.

11671834368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 3584 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The spelling of 11671834368 in words is "eleven billion, six hundred seventy-one million, eight hundred thirty-four thousand, three hundred sixty-eight".