11830173264 has 480 divisors, whose sum is σ = 42084806400. Its totient is φ = 3019825152.

The previous prime is 11830173247. The next prime is 11830173307. The reversal of 11830173264 is 46237103811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79397062 + ... + 79397210.

It is an arithmetic number, because the mean of its divisors is an integer number (87676680).

Almost surely, 2^11830173264 is an apocalyptic number.

11830173264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11830173264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21042403200).

11830173264 is an abundant number, since it is smaller than the sum of its proper divisors (30254633136).

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

11830173264 is a wasteful number, since it uses less digits than its factorization.

11830173264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 11830173264 in words is "eleven billion, eight hundred thirty million, one hundred seventy-three thousand, two hundred sixty-four".