21458349765216 has 1152 divisors, whose sum is σ = 81919696674816. Its totient is φ = 5373158768640.

The previous prime is 21458349765169. The next prime is 21458349765217. The reversal of 21458349765216 is 61256794385412.

It is a happy number.

21458349765216 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 8 + 34 + 9 + 76 + 521 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21458349765217) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1162603860 + ... + 1162622316.

It is an arithmetic number, because the mean of its divisors is an integer number (71110847808).

Almost surely, 2^{21458349765216} is an apocalyptic number.

21458349765216 is a gapful number since it is divisible by the number (26) 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 21458349765216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40959848337408).

21458349765216 is an abundant number, since it is smaller than the sum of its proper divisors (60461346909600).

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

21458349765216 is a wasteful number, since it uses less digits than its factorization.

21458349765216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18586 (or 18566 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 21458349765216 in words is "twenty-one trillion, four hundred fifty-eight billion, three hundred forty-nine million, seven hundred sixty-five thousand, two hundred sixteen".