21148031512768 has 168 divisors, whose sum is σ = 44638552226400. Its totient is φ = 9933204234240.

The previous prime is 21148031512681. The next prime is 21148031512789. The reversal of 21148031512768 is 86721513084112.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998998888 + ... + 999020056.

Almost surely, 2^{21148031512768} 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 21148031512768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22319276113200).

21148031512768 is an abundant number, since it is smaller than the sum of its proper divisors (23490520713632).

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

21148031512768 is a wasteful number, since it uses less digits than its factorization.

21148031512768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21719 (or 21678 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 49.

The spelling of 21148031512768 in words is "twenty-one trillion, one hundred forty-eight billion, thirty-one million, five hundred twelve thousand, seven hundred sixty-eight".