21013189344 has 384 divisors, whose sum is σ = 75624192000. Its totient is φ = 5543645184.

The previous prime is 21013189343. The next prime is 21013189349. The reversal of 21013189344 is 44398131012.

21013189344 is a `hidden beast` number, since 210 + 1 + 318 + 93 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21013189299 and 21013189308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21013189343) 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, 4031412 + ... + 4036620.

It is an arithmetic number, because the mean of its divisors is an integer number (196938000).

Almost surely, 2^21013189344 is an apocalyptic number.

21013189344 is a gapful number since it is divisible by the number (24) 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 21013189344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37812096000).

21013189344 is an abundant number, since it is smaller than the sum of its proper divisors (54611002656).

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

21013189344 is a wasteful number, since it uses less digits than its factorization.

21013189344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5287 (or 5273 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 21013189344 in words is "twenty-one billion, thirteen million, one hundred eighty-nine thousand, three hundred forty-four".