13798629556224 has 480 divisors, whose sum is σ = 39981737671680. Its totient is φ = 4221082533888.

The previous prime is 13798629556219. The next prime is 13798629556237. The reversal of 13798629556224 is 42265592689731.

It is a Harshad number since it is a multiple of its sum of digits (69).

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, 3053467437 + ... + 3053471955.

It is an arithmetic number, because the mean of its divisors is an integer number (83295286816).

Almost surely, 2^{13798629556224} 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 13798629556224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19990868835840).

13798629556224 is an abundant number, since it is smaller than the sum of its proper divisors (26183108115456).

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

13798629556224 is an equidigital number, since it uses as much as digits as its factorization.

13798629556224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4683 (or 4657 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 69.

The spelling of 13798629556224 in words is "thirteen trillion, seven hundred ninety-eight billion, six hundred twenty-nine million, five hundred fifty-six thousand, two hundred twenty-four".