23493759464448 has 1056 divisors, whose sum is σ = 86312385803520. Its totient is φ = 6181172674560.

The previous prime is 23493759464429. The next prime is 23493759464453. The reversal of 23493759464448 is 84446495739432.

23493759464448 is a `hidden beast` number, since 2 + 3 + 4 + 9 + 37 + 5 + 94 + 64 + 448 = 666.

It is a super-3 number, since 3×23493759464448³ (a number of 41 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22143033838 + ... + 22143034898.

Almost surely, 2^{23493759464448} is an apocalyptic number.

23493759464448 is a gapful number since it is divisible by the number (28) 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 23493759464448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43156192901760).

23493759464448 is an abundant number, since it is smaller than the sum of its proper divisors (62818626339072).

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

23493759464448 is a wasteful number, since it uses less digits than its factorization.

23493759464448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1763 counting only the distinct ones).

The product of its digits is 2508226560, while the sum is 72.

The spelling of 23493759464448 in words is "twenty-three trillion, four hundred ninety-three billion, seven hundred fifty-nine million, four hundred sixty-four thousand, four hundred forty-eight".