21194514432 has 672 divisors, whose sum is σ = 78669855360. Its totient is φ = 5589762048.

The previous prime is 21194514413. The next prime is 21194514449. The reversal of 21194514432 is 23441549112.

21194514432 is a `hidden beast` number, since 2 + 11 + 94 + 514 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

Its product of digits (34560) is a multiple of the sum of its prime factors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1630347258 + ... + 1630347270.

Almost surely, 2^21194514432 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 21194514432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39334927680).

21194514432 is an abundant number, since it is smaller than the sum of its proper divisors (57475340928).

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

21194514432 is an frugal number, since it uses more digits than its factorization.

21194514432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 25 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 21194514432 in words is "twenty-one billion, one hundred ninety-four million, five hundred fourteen thousand, four hundred thirty-two".