21462216384 has 168 divisors, whose sum is σ = 69533780160. Its totient is φ = 5809273344.

The previous prime is 21462216371. The next prime is 21462216397. The reversal of 21462216384 is 48361226412.

It is an interprime number because it is at equal distance from previous prime (21462216371) and next prime (21462216397).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×21462216384³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118719 + ... + 238785.

Almost surely, 2^21462216384 is an apocalyptic number.

21462216384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21462216384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34766890080).

21462216384 is an abundant number, since it is smaller than the sum of its proper divisors (48071563776).

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

21462216384 is a wasteful number, since it uses less digits than its factorization.

21462216384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120115 (or 120098 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The spelling of 21462216384 in words is "twenty-one billion, four hundred sixty-two million, two hundred sixteen thousand, three hundred eighty-four".