23211214685568 has 1024 divisors, whose sum is σ = 85237589606400. Its totient is φ = 6054928588800.

The previous prime is 23211214685537. The next prime is 23211214685579. The reversal of 23211214685568 is 86558641211232.

23211214685568 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 1 + 2 + 14 + 68 + 5 + 568 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15779207073 + ... + 15779208543.

It is an arithmetic number, because the mean of its divisors is an integer number (83239833600).

Almost surely, 2^{23211214685568} is an apocalyptic number.

23211214685568 is a gapful number since it is divisible by the number (28) 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 23211214685568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42618794803200).

23211214685568 is an abundant number, since it is smaller than the sum of its proper divisors (62026374920832).

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

23211214685568 is a wasteful number, since it uses less digits than its factorization.

23211214685568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2010 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 23211214685568 in words is "twenty-three trillion, two hundred eleven billion, two hundred fourteen million, six hundred eighty-five thousand, five hundred sixty-eight".