23254699200768 has 288 divisors, whose sum is σ = 78608161157120. Its totient is φ = 6642856396800.

The previous prime is 23254699200767. The next prime is 23254699200881. The reversal of 23254699200768 is 86700299645232.

It is a happy number.

23254699200768 is a `hidden beast` number, since 2 + 3 + 2 + 546 + 9 + 9 + 20 + 0 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (23254699200767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252857193 + ... + 252949143.

Almost surely, 2^{23254699200768} is an apocalyptic number.

23254699200768 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 23254699200768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39304080578560).

23254699200768 is an abundant number, since it is smaller than the sum of its proper divisors (55353461956352).

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

23254699200768 is an equidigital number, since it uses as much as digits as its factorization.

23254699200768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97210 (or 97190 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 23254699200768 in words is "twenty-three trillion, two hundred fifty-four billion, six hundred ninety-nine million, two hundred thousand, seven hundred sixty-eight".