23112986400 has 648 divisors, whose sum is σ = 95582882304. Its totient is φ = 5255308800.

The previous prime is 23112986357. The next prime is 23112986473. The reversal of 23112986400 is 468921132.

23112986400 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 2 + 9 + 8 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 121010305 + ... + 121010495.

It is an arithmetic number, because the mean of its divisors is an integer number (147504448).

Almost surely, 2^23112986400 is an apocalyptic number.

23112986400 is a gapful number since it is divisible by the number (20) 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 23112986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47791441152).

23112986400 is an abundant number, since it is smaller than the sum of its proper divisors (72469895904).

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

23112986400 is an equidigital number, since it uses as much as digits as its factorization.

23112986400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 23112986400 in words is "twenty-three billion, one hundred twelve million, nine hundred eighty-six thousand, four hundred".