23304631689216 has 728 divisors, whose sum is σ = 71933866755804. Its totient is φ = 7546178764800.

The previous prime is 23304631689211. The next prime is 23304631689223. The reversal of 23304631689216 is 61298613640332.

23304631689216 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 463 + 168 + 9 + 2 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19645460582400 + 3659171106816 = 4432320^2 + 1912896^2 .

It is a super-2 number, since 2×23304631689216² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (23304631689211) by changing a digit.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 230738927566 + ... + 230738927666.

Almost surely, 2^{23304631689216} 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 23304631689216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35966933377902).

23304631689216 is an abundant number, since it is smaller than the sum of its proper divisors (48629235066588).

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

23304631689216 is an frugal number, since it uses more digits than its factorization.

23304631689216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

It can be divided in two parts, 2330463 and 1689216, that added together give a cube (4019679 = 159³).

The spelling of 23304631689216 in words is "twenty-three trillion, three hundred four billion, six hundred thirty-one million, six hundred eighty-nine thousand, two hundred sixteen".