21192414912 has 448 divisors, whose sum is σ = 68382489600. Its totient is φ = 6495261696.

The previous prime is 21192414899. The next prime is 21192414913. The reversal of 21192414912 is 21941429112.

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

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 (21192414913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93358543 + ... + 93358769.

Almost surely, 2^21192414912 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 21192414912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34191244800).

21192414912 is an abundant number, since it is smaller than the sum of its proper divisors (47190074688).

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

21192414912 is an equidigital number, since it uses as much as digits as its factorization.

21192414912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 284 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The spelling of 21192414912 in words is "twenty-one billion, one hundred ninety-two million, four hundred fourteen thousand, nine hundred twelve".