23294648400 has 240 divisors, whose sum is σ = 78115000320. Its totient is φ = 5922752000.

The previous prime is 23294648389. The next prime is 23294648407. The reversal of 23294648400 is 484649232.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23294648407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9907225 + ... + 9909575.

It is an arithmetic number, because the mean of its divisors is an integer number (325479168).

Almost surely, 2^23294648400 is an apocalyptic number.

23294648400 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 23294648400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39057500160).

23294648400 is an abundant number, since it is smaller than the sum of its proper divisors (54820351920).

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

23294648400 is a wasteful number, since it uses less digits than its factorization.

23294648400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 23294648400 in words is "twenty-three billion, two hundred ninety-four million, six hundred forty-eight thousand, four hundred".