21414381888 has 112 divisors (see below), whose sum is σ = 57150365760. Its totient is φ = 7076450304.

The previous prime is 21414381887. The next prime is 21414381899. The reversal of 21414381888 is 88818341412.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21414381887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19309078 + ... + 19310186.

Almost surely, 2^21414381888 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 21414381888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28575182880).

21414381888 is an abundant number, since it is smaller than the sum of its proper divisors (35735983872).

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

21414381888 is a wasteful number, since it uses less digits than its factorization.

21414381888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1894 counting only the distinct ones).

The product of its digits is 393216, while the sum is 48.

The spelling of 21414381888 in words is "twenty-one billion, four hundred fourteen million, three hundred eighty-one thousand, eight hundred eighty-eight".