23764842196416 has 336 divisors, whose sum is σ = 71271371808000. Its totient is φ = 7851066642432.

The previous prime is 23764842196411. The next prime is 23764842196429. The reversal of 23764842196416 is 61469124846732.

23764842196416 is a `hidden beast` number, since 2 + 3 + 7 + 6 + 484 + 21 + 96 + 41 + 6 = 666.

It is a super-3 number, since 3×23764842196416³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23764842196411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1294865896 + ... + 1294884248.

It is an arithmetic number, because the mean of its divisors is an integer number (212117178000).

Almost surely, 2^{23764842196416} 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 23764842196416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35635685904000).

23764842196416 is an abundant number, since it is smaller than the sum of its proper divisors (47506529611584).

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

23764842196416 is a wasteful number, since it uses less digits than its factorization.

23764842196416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19118 (or 19096 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 23764842196416 in words is "twenty-three trillion, seven hundred sixty-four billion, eight hundred forty-two million, one hundred ninety-six thousand, four hundred sixteen".