13219630104576 has 480 divisors, whose sum is σ = 43104050053120. Its totient is φ = 3519479808000.

The previous prime is 13219630104553. The next prime is 13219630104581. The reversal of 13219630104576 is 67540103691231.

It is a super-2 number, since 2×13219630104576² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 398753601 + ... + 398786751.

Almost surely, 2^{13219630104576} is an apocalyptic number.

13219630104576 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 13219630104576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21552025026560).

13219630104576 is an abundant number, since it is smaller than the sum of its proper divisors (29884419948544).

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

13219630104576 is an equidigital number, since it uses as much as digits as its factorization.

13219630104576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33269 (or 33243 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 13219630104576 in words is "thirteen trillion, two hundred nineteen billion, six hundred thirty million, one hundred four thousand, five hundred seventy-six".