23391891828864 has 3072 divisors, whose sum is σ = 88759407744000. Its totient is φ = 6003691094016.

The previous prime is 23391891828787. The next prime is 23391891828871. The reversal of 23391891828864 is 46882819819332.

23391891828864 is a `hidden beast` number, since 2 + 3 + 391 + 89 + 1 + 82 + 8 + 86 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23391891828792 and 23391891828801.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 320436874332 + ... + 320436874404.

It is an arithmetic number, because the mean of its divisors is an integer number (28893036375).

Almost surely, 2^{23391891828864} is an apocalyptic number.

23391891828864 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 23391891828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44379703872000).

23391891828864 is an abundant number, since it is smaller than the sum of its proper divisors (65367515915136).

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

23391891828864 is a wasteful number, since it uses less digits than its factorization.

23391891828864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 197 counting only the distinct ones).

The product of its digits is 286654464, while the sum is 72.

The spelling of 23391891828864 in words is "twenty-three trillion, three hundred ninety-one billion, eight hundred ninety-one million, eight hundred twenty-eight thousand, eight hundred sixty-four".