23999142827664 has 45 divisors (see below), whose sum is σ = 67164432296169. Its totient is φ = 7999694680320.

The previous prime is 23999142827633. The next prime is 23999142827687. The reversal of 23999142827664 is 46672824199932.

The square root of 23999142827664 is 4898892.

It is a perfect power (a square), and thus also a powerful number.

23999142827664 is a `hidden beast` number, since 2 + 3 + 99 + 91 + 428 + 27 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 963750597264 + 23035392230400 = 981708^2 + 4799520^2 .

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 = 23999142827592 and 23999142827601.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 58582584 + ... + 58990824.

Almost surely, 2^{23999142827664} is an apocalyptic number.

23999142827664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

23999142827664 is the 4898892-nd square number.

It is an amenable number.

23999142827664 is an abundant number, since it is smaller than the sum of its proper divisors (43165289468505).

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

23999142827664 is an frugal number, since it uses more digits than its factorization.

23999142827664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816496 (or 408246 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 23999142827664 in words is "twenty-three trillion, nine hundred ninety-nine billion, one hundred forty-two million, eight hundred twenty-seven thousand, six hundred sixty-four".