21854670048 has 288 divisors, whose sum is σ = 69535065600. Its totient is φ = 6659283456.

The previous prime is 21854670031. The next prime is 21854670049. The reversal of 21854670048 is 84007645812.

21854670048 is a `hidden beast` number, since 2 + 185 + 467 + 0 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 21854669985 and 21854670012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21854670049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13805065 + ... + 13806647.

It is an arithmetic number, because the mean of its divisors is an integer number (241441200).

Almost surely, 2^21854670048 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 21854670048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34767532800).

21854670048 is an abundant number, since it is smaller than the sum of its proper divisors (47680395552).

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

21854670048 is a wasteful number, since it uses less digits than its factorization.

21854670048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 21854670048 in words is "twenty-one billion, eight hundred fifty-four million, six hundred seventy thousand, forty-eight".