23814789682464 has 432 divisors, whose sum is σ = 77788190319840. Its totient is φ = 6853109852160.

The previous prime is 23814789682433. The next prime is 23814789682501. The reversal of 23814789682464 is 46428698741832.

23814789682464 is a `hidden beast` number, since 2 + 3 + 8 + 1 + 4 + 7 + 89 + 6 + 82 + 464 = 666.

It is a super-2 number, since 2×23814789682464² (a number of 28 digits) contains 22 as substring.

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 = 23814789682392 and 23814789682401.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 232895092 + ... + 232997324.

It is an arithmetic number, because the mean of its divisors is an integer number (180065255370).

Almost surely, 2^{23814789682464} is an apocalyptic number.

23814789682464 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 23814789682464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38894095159920).

23814789682464 is an abundant number, since it is smaller than the sum of its proper divisors (53973400637376).

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

23814789682464 is a wasteful number, since it uses less digits than its factorization.

23814789682464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102445 (or 102411 counting only the distinct ones).

The product of its digits is 891813888, while the sum is 72.

The spelling of 23814789682464 in words is "twenty-three trillion, eight hundred fourteen billion, seven hundred eighty-nine million, six hundred eighty-two thousand, four hundred sixty-four".