21314241312 has 768 divisors, whose sum is σ = 76603097088. Its totient is φ = 5036359680.

The previous prime is 21314241271. The next prime is 21314241323.

21314241312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

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, 349413762 + ... + 349413822.

It is an arithmetic number, because the mean of its divisors is an integer number (99743616).

Almost surely, 2^21314241312 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 21314241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38301548544).

21314241312 is an abundant number, since it is smaller than the sum of its proper divisors (55288855776).

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

21314241312 is a wasteful number, since it uses less digits than its factorization.

21314241312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 193 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The spelling of 21314241312 in words is "twenty-one billion, three hundred fourteen million, two hundred forty-one thousand, three hundred twelve".