21819663836334 has 384 divisors, whose sum is σ = 61745837328000. Its totient is φ = 5660342747136.

The previous prime is 21819663836309. The next prime is 21819663836339. The reversal of 21819663836334 is 43363836691812.

21819663836334 is a `hidden beast` number, since 2 + 1 + 8 + 196 + 6 + 383 + 63 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21819663836339) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 590835982 + ... + 590872910.

It is an arithmetic number, because the mean of its divisors is an integer number (160796451375).

Almost surely, 2^{21819663836334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21819663836334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30872918664000).

21819663836334 is an abundant number, since it is smaller than the sum of its proper divisors (39926173491666).

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

21819663836334 is a wasteful number, since it uses less digits than its factorization.

21819663836334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37249 (or 37236 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

The spelling of 21819663836334 in words is "twenty-one trillion, eight hundred nineteen billion, six hundred sixty-three million, eight hundred thirty-six thousand, three hundred thirty-four".