23481216000 has 1056 divisors, whose sum is σ = 98635268160. Its totient is φ = 5308416000.

The previous prime is 23481215999. The next prime is 23481216023. The reversal of 23481216000 is 61218432.

23481216000 is a `hidden beast` number, since 2 + 3 + 48 + 12 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215423946 + ... + 215424054.

It is an arithmetic number, because the mean of its divisors is an integer number (93404610).

Almost surely, 2^23481216000 is an apocalyptic number.

23481216000 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 23481216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49317634080).

23481216000 is an abundant number, since it is smaller than the sum of its proper divisors (75154052160).

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

23481216000 is a wasteful number, since it uses less digits than its factorization.

23481216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 23481216000 in words is "twenty-three billion, four hundred eighty-one million, two hundred sixteen thousand".