12619924416 has 560 divisors, whose sum is σ = 43194792960. Its totient is φ = 3638131200.

The previous prime is 12619924391. The next prime is 12619924417. The reversal of 12619924416 is 61442991621.

12619924416 is a `hidden beast` number, since 1 + 2 + 619 + 9 + 24 + 4 + 1 + 6 = 666.

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 (12619924417) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 213896995 + ... + 213897053.

Almost surely, 2^12619924416 is an apocalyptic number.

12619924416 is a gapful number since it is divisible by the number (16) 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 12619924416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21597396480).

12619924416 is an abundant number, since it is smaller than the sum of its proper divisors (30574868544).

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

12619924416 is an equidigital number, since it uses as much as digits as its factorization.

12619924416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 106 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 12619924416 in words is "twelve billion, six hundred nineteen million, nine hundred twenty-four thousand, four hundred sixteen".