22014480384 has 312 divisors, whose sum is σ = 69552991872. Its totient is φ = 6667960320.

The previous prime is 22014480379. The next prime is 22014480391. The reversal of 22014480384 is 48308441022.

22014480384 is a `hidden beast` number, since 2 + 201 + 448 + 0 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

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

It is a congruent number.

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, 34025149 + ... + 34025795.

It is an arithmetic number, because the mean of its divisors is an integer number (222926256).

Almost surely, 2^22014480384 is an apocalyptic number.

22014480384 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 22014480384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34776495936).

22014480384 is an abundant number, since it is smaller than the sum of its proper divisors (47538511488).

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

22014480384 is a wasteful number, since it uses less digits than its factorization.

22014480384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

It can be divided in two parts, 22014480 and 384, that added together give a square (22014864 = 4692²).

The spelling of 22014480384 in words is "twenty-two billion, fourteen million, four hundred eighty thousand, three hundred eighty-four".