21249694883144 has 256 divisors, whose sum is σ = 51977901588480. Its totient is φ = 7914447636480.

The previous prime is 21249694883143. The next prime is 21249694883149. The reversal of 21249694883144 is 44138849694212.

It is a happy number.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (21249694883143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 600137489 + ... + 600172895.

It is an arithmetic number, because the mean of its divisors is an integer number (203038678080).

Almost surely, 2^{21249694883144} 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 21249694883144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25988950794240).

21249694883144 is an abundant number, since it is smaller than the sum of its proper divisors (30728206705336).

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

21249694883144 is a wasteful number, since it uses less digits than its factorization.

21249694883144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36020 (or 36016 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 65.

The spelling of 21249694883144 in words is "twenty-one trillion, two hundred forty-nine billion, six hundred ninety-four million, eight hundred eighty-three thousand, one hundred forty-four".