23681142374400 has 2160 divisors, whose sum is σ = 103113879872640. Its totient is φ = 5274442137600.

The previous prime is 23681142374387. The next prime is 23681142374429. The reversal of 23681142374400 is 447324118632.

23681142374400 is a `hidden beast` number, since 2 + 3 + 6 + 8 + 1 + 1 + 4 + 237 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 28565913186 + ... + 28565914014.

Almost surely, 2^{23681142374400} is an apocalyptic number.

23681142374400 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 23681142374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51556939936320).

23681142374400 is an abundant number, since it is smaller than the sum of its proper divisors (79432737498240).

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

23681142374400 is an frugal number, since it uses more digits than its factorization.

23681142374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 23681142374400 in words is "twenty-three trillion, six hundred eighty-one billion, one hundred forty-two million, three hundred seventy-four thousand, four hundred".