21379499497312 has 96 divisors (see below), whose sum is σ = 48339102067200. Its totient is φ = 9205518067200.

The previous prime is 21379499497303. The next prime is 21379499497333.

21379499497312 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×21379499497312³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65573737 + ... + 65898967.

It is an arithmetic number, because the mean of its divisors is an integer number (503532313200).

Almost surely, 2^{21379499497312} is an apocalyptic number.

21379499497312 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 21379499497312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24169551033600).

21379499497312 is an abundant number, since it is smaller than the sum of its proper divisors (26959602569888).

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

21379499497312 is a wasteful number, since it uses less digits than its factorization.

21379499497312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335100 (or 335092 counting only the distinct ones).

The product of its digits is 185177664, while the sum is 70.

The spelling of 21379499497312 in words is "twenty-one trillion, three hundred seventy-nine billion, four hundred ninety-nine million, four hundred ninety-seven thousand, three hundred twelve".