23471961600 has 480 divisors, whose sum is σ = 83296097280. Its totient is φ = 5808291840.

The previous prime is 23471961599. The next prime is 23471961641. The reversal of 23471961600 is 616917432.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×23471961600³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38668497 + ... + 38669103.

It is an arithmetic number, because the mean of its divisors is an integer number (173533536).

Almost surely, 2^23471961600 is an apocalyptic number.

23471961600 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 23471961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41648048640).

23471961600 is an abundant number, since it is smaller than the sum of its proper divisors (59824135680).

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

23471961600 is a wasteful number, since it uses less digits than its factorization.

23471961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 23471961600 in words is "twenty-three billion, four hundred seventy-one million, nine hundred sixty-one thousand, six hundred".