21339488493312 has 144 divisors (see below), whose sum is σ = 61962529208832. Its totient is φ = 6465962229760.

The previous prime is 21339488493307. The next prime is 21339488493317.

It is a happy number.

21339488493312 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (21339488493307) and next prime (21339488493317).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21339488493317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105473593 + ... + 105675719.

It is an arithmetic number, because the mean of its divisors is an integer number (430295341728).

Almost surely, 2^{21339488493312} is an apocalyptic number.

21339488493312 is a gapful number since it is divisible by the number (22) 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 21339488493312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30981264604416).

21339488493312 is an abundant number, since it is smaller than the sum of its proper divisors (40623040715520).

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

21339488493312 is a wasteful number, since it uses less digits than its factorization.

21339488493312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214654 (or 214640 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 60.

The spelling of 21339488493312 in words is "twenty-one trillion, three hundred thirty-nine billion, four hundred eighty-eight million, four hundred ninety-three thousand, three hundred twelve".