23712868827648 has 960 divisors, whose sum is σ = 95291102979072. Its totient is φ = 5685373255680.

The previous prime is 23712868827587. The next prime is 23712868827677. The reversal of 23712868827648 is 84672886821732.

It is a happy number.

23712868827648 is a `hidden beast` number, since 2 + 3 + 71 + 286 + 8 + 8 + 276 + 4 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 124445215 + ... + 124635617.

Almost surely, 2^{23712868827648} is an apocalyptic number.

23712868827648 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 23712868827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47645551489536).

23712868827648 is an abundant number, since it is smaller than the sum of its proper divisors (71578234151424).

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

23712868827648 is a wasteful number, since it uses less digits than its factorization.

23712868827648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190467 (or 190439 counting only the distinct ones).

The product of its digits is 693633024, while the sum is 72.

The spelling of 23712868827648 in words is "twenty-three trillion, seven hundred twelve billion, eight hundred sixty-eight million, eight hundred twenty-seven thousand, six hundred forty-eight".