23680346112 has 384 divisors, whose sum is σ = 75431865600. Its totient is φ = 7405240320.

The previous prime is 23680346101. The next prime is 23680346149. The reversal of 23680346112 is 21164308632.

23680346112 is a `hidden beast` number, since 2 + 3 + 6 + 8 + 0 + 34 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×23680346112² (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 31 ways as a sum of consecutive naturals, for example, 76142437 + ... + 76142747.

It is an arithmetic number, because the mean of its divisors is an integer number (196437150).

Almost surely, 2^23680346112 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 23680346112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37715932800).

23680346112 is an abundant number, since it is smaller than the sum of its proper divisors (51751519488).

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

23680346112 is an frugal number, since it uses more digits than its factorization.

23680346112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 23680346112 in words is "twenty-three billion, six hundred eighty million, three hundred forty-six thousand, one hundred twelve".