23693472000 has 864 divisors, whose sum is σ = 96799457664. Its totient is φ = 5723136000.

The previous prime is 23693471951. The next prime is 23693472013. The reversal of 23693472000 is 27439632.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×23693472000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 85535862 + ... + 85536138.

Almost surely, 2^23693472000 is an apocalyptic number.

23693472000 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 23693472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48399728832).

23693472000 is an abundant number, since it is smaller than the sum of its proper divisors (73105985664).

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

23693472000 is an equidigital number, since it uses as much as digits as its factorization.

23693472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 23693472000 in words is "twenty-three billion, six hundred ninety-three million, four hundred seventy-two thousand".