23148378288000 has 1536 divisors, whose sum is σ = 99459674496000. Its totient is φ = 5240949350400.

The previous prime is 23148378287959. The next prime is 23148378288097. The reversal of 23148378288000 is 88287384132.

23148378288000 is a `hidden beast` number, since 2 + 3 + 1 + 483 + 7 + 82 + 8 + 80 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2912108026 + ... + 2912115974.

It is an arithmetic number, because the mean of its divisors is an integer number (64752392250).

Almost surely, 2^{23148378288000} is an apocalyptic number.

23148378288000 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 23148378288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49729837248000).

23148378288000 is an abundant number, since it is smaller than the sum of its proper divisors (76311296208000).

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

23148378288000 is an equidigital number, since it uses as much as digits as its factorization.

23148378288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8107 (or 8073 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 23148378288000 in words is "twenty-three trillion, one hundred forty-eight billion, three hundred seventy-eight million, two hundred eighty-eight thousand".