11671838231328 has 720 divisors, whose sum is σ = 38875485847968. Its totient is φ = 3420873907200.

The previous prime is 11671838231311. The next prime is 11671838231353. The reversal of 11671838231328 is 82313283817611.

11671838231328 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 1 + 83 + 8 + 231 + 328 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6658206900 + ... + 6658208652.

Almost surely, 2^{11671838231328} is an apocalyptic number.

11671838231328 is a gapful number since it is divisible by the number (18) 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 11671838231328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19437742923984).

11671838231328 is an abundant number, since it is smaller than the sum of its proper divisors (27203647616640).

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

11671838231328 is an frugal number, since it uses more digits than its factorization.

11671838231328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1800 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 11671838231328 in words is "eleven trillion, six hundred seventy-one billion, eight hundred thirty-eight million, two hundred thirty-one thousand, three hundred twenty-eight".