23080381670304 has 1728 divisors, whose sum is σ = 85325461917696. Its totient is φ = 6006992099328.

The previous prime is 23080381670279. The next prime is 23080381670321. The reversal of 23080381670304 is 40307618308032.

23080381670304 is a `hidden beast` number, since 2 + 308 + 0 + 38 + 1 + 6 + 7 + 0 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23080381670304.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 61877698662 + ... + 61877699034.

It is an arithmetic number, because the mean of its divisors is an integer number (49378160832).

Almost surely, 2^{23080381670304} is an apocalyptic number.

23080381670304 is a gapful number since it is divisible by the number (24) 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 23080381670304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42662730958848).

23080381670304 is an abundant number, since it is smaller than the sum of its proper divisors (62245080247392).

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

23080381670304 is a wasteful number, since it uses less digits than its factorization.

23080381670304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

Adding to 23080381670304 its reverse (40307618308032), we get a palindrome (63387999978336).

The spelling of 23080381670304 in words is "twenty-three trillion, eighty billion, three hundred eighty-one million, six hundred seventy thousand, three hundred four".