23095669169664 has 1120 divisors, whose sum is σ = 86898185035200. Its totient is φ = 6090726555648.

The previous prime is 23095669169623. The next prime is 23095669169701. The reversal of 23095669169664 is 46696196659032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 23095669169592 and 23095669169601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1664305894 + ... + 1664319770.

It is an arithmetic number, because the mean of its divisors is an integer number (77587665210).

Almost surely, 2^{23095669169664} is an apocalyptic number.

23095669169664 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 23095669169664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43449092517600).

23095669169664 is an abundant number, since it is smaller than the sum of its proper divisors (63802515865536).

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

23095669169664 is an frugal number, since it uses more digits than its factorization.

23095669169664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13947 (or 13902 counting only the distinct ones).

The product of its (nonzero) digits is 680244480, while the sum is 72.

The spelling of 23095669169664 in words is "twenty-three trillion, ninety-five billion, six hundred sixty-nine million, one hundred sixty-nine thousand, six hundred sixty-four".