23714006400 has 1152 divisors, whose sum is σ = 104968281600. Its totient is φ = 4976640000.

The previous prime is 23714006389. The next prime is 23714006413. The reversal of 23714006400 is 460041732.

23714006400 is a `hidden beast` number, since 2 + 3 + 7 + 14 + 0 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 157046325 + ... + 157046475.

It is an arithmetic number, because the mean of its divisors is an integer number (91118300).

Almost surely, 2^23714006400 is an apocalyptic number.

23714006400 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 23714006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52484140800).

23714006400 is an abundant number, since it is smaller than the sum of its proper divisors (81254275200).

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

23714006400 is a wasteful number, since it uses less digits than its factorization.

23714006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 23714006400 in words is "twenty-three billion, seven hundred fourteen million, six thousand, four hundred".