21837430946112 has 896 divisors, whose sum is σ = 66396676147200. Its totient is φ = 6293230977024.

The previous prime is 21837430946069. The next prime is 21837430946141. The reversal of 21837430946112 is 21164903473812.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 121996820839 + ... + 121996821017.

It is an arithmetic number, because the mean of its divisors is an integer number (74103433200).

Almost surely, 2^{21837430946112} 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 21837430946112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33198338073600).

21837430946112 is an abundant number, since it is smaller than the sum of its proper divisors (44559245201088).

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

21837430946112 is a wasteful number, since it uses less digits than its factorization.

21837430946112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 21837430946112 in words is "twenty-one trillion, eight hundred thirty-seven billion, four hundred thirty million, nine hundred forty-six thousand, one hundred twelve".