21144145152 has 288 divisors, whose sum is σ = 62494139008. Its totient is φ = 6306398208.

The previous prime is 21144145133. The next prime is 21144145207. The reversal of 21144145152 is 25154144112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48831528 + ... + 48831960.

Almost surely, 2^21144145152 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 21144145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31247069504).

21144145152 is an abundant number, since it is smaller than the sum of its proper divisors (41349993856).

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

21144145152 is a wasteful number, since it uses less digits than its factorization.

21144145152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 591 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

Adding to 21144145152 its reverse (25154144112), we get a palindrome (46298289264).

The spelling of 21144145152 in words is "twenty-one billion, one hundred forty-four million, one hundred forty-five thousand, one hundred fifty-two".