23920968646656 has 840 divisors, whose sum is σ = 78802988785920. Its totient is φ = 7223979147264.

The previous prime is 23920968646643. The next prime is 23920968646669. The reversal of 23920968646656 is 65664686902932.

It is a happy number.

23920968646656 is a `hidden beast` number, since 2 + 3 + 9 + 20 + 96 + 8 + 6 + 466 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (23920968646643) and next prime (23920968646669).

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5219497741 + ... + 5219502323.

It is an arithmetic number, because the mean of its divisors is an integer number (93813081888).

Almost surely, 2^{23920968646656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23920968646656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39401494392960).

23920968646656 is an abundant number, since it is smaller than the sum of its proper divisors (54882020139264).

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

23920968646656 is an frugal number, since it uses more digits than its factorization.

23920968646656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4671 (or 4630 counting only the distinct ones).

The product of its (nonzero) digits is 1209323520, while the sum is 72.

The spelling of 23920968646656 in words is "twenty-three trillion, nine hundred twenty billion, nine hundred sixty-eight million, six hundred forty-six thousand, six hundred fifty-six".