23961166416 has 320 divisors, whose sum is σ = 76995072000. Its totient is φ = 7073464320.

The previous prime is 23961166391. The next prime is 23961166417. The reversal of 23961166416 is 61466116932.

23961166416 is a `hidden beast` number, since 23 + 9 + 611 + 6 + 6 + 4 + 1 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23961166417) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 31158480 + ... + 31159248.

It is an arithmetic number, because the mean of its divisors is an integer number (240609600).

Almost surely, 2^23961166416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23961166416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38497536000).

23961166416 is an abundant number, since it is smaller than the sum of its proper divisors (53033905584).

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

23961166416 is a wasteful number, since it uses less digits than its factorization.

23961166416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 947 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 23961166416 in words is "twenty-three billion, nine hundred sixty-one million, one hundred sixty-six thousand, four hundred sixteen".