21354283008 has 384 divisors, whose sum is σ = 67338523200. Its totient is φ = 6497501184.

The previous prime is 21354283007. The next prime is 21354283033. The reversal of 21354283008 is 80038245312.

21354283008 is a `hidden beast` number, since 21 + 354 + 283 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (21354283007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207323085 + ... + 207323187.

Almost surely, 2^21354283008 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 21354283008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33669261600).

21354283008 is an abundant number, since it is smaller than the sum of its proper divisors (45984240192).

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

21354283008 is a wasteful number, since it uses less digits than its factorization.

21354283008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 21354283008 in words is "twenty-one billion, three hundred fifty-four million, two hundred eighty-three thousand, eight".