21014617342488 has 256 divisors, whose sum is σ = 66247164887040. Its totient is φ = 5396438246400.

The previous prime is 21014617342451. The next prime is 21014617342489. The reversal of 21014617342488 is 88424371641012.

It is a super-2 number, since 2×21014617342488² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21014617342488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21014617342489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57351156 + ... + 57716412.

It is an arithmetic number, because the mean of its divisors is an integer number (258777987840).

Almost surely, 2^{21014617342488} is an apocalyptic number.

21014617342488 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 21014617342488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33123582443520).

21014617342488 is an abundant number, since it is smaller than the sum of its proper divisors (45232547544552).

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

21014617342488 is a wasteful number, since it uses less digits than its factorization.

21014617342488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365638 (or 365634 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 21014617342488 in words is "twenty-one trillion, fourteen billion, six hundred seventeen million, three hundred forty-two thousand, four hundred eighty-eight".