23329378188480 has 1344 divisors, whose sum is σ = 96692436495360. Its totient is φ = 4653373390848.

The previous prime is 23329378188463. The next prime is 23329378188497. The reversal of 23329378188480 is 8488187392332.

It is an interprime number because it is at equal distance from previous prime (23329378188463) and next prime (23329378188497).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×23329378188480² (a number of 28 digits) contains 22 as substring.

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, 14608251042 + ... + 14608252638.

Almost surely, 2^{23329378188480} is an apocalyptic number.

23329378188480 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 23329378188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48346218247680).

23329378188480 is an abundant number, since it is smaller than the sum of its proper divisors (73363058306880).

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

23329378188480 is a wasteful number, since it uses less digits than its factorization.

23329378188480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 66.

The spelling of 23329378188480 in words is "twenty-three trillion, three hundred twenty-nine billion, three hundred seventy-eight million, one hundred eighty-eight thousand, four hundred eighty".