13630743456 has 192 divisors, whose sum is σ = 39663945216. Its totient is φ = 4064384000.

The previous prime is 13630743443. The next prime is 13630743491. The reversal of 13630743456 is 65434703631.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24210631 + ... + 24211193.

It is an arithmetic number, because the mean of its divisors is an integer number (206583048).

Almost surely, 2^13630743456 is an apocalyptic number.

13630743456 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 13630743456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19831972608).

13630743456 is an abundant number, since it is smaller than the sum of its proper divisors (26033201760).

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

13630743456 is a wasteful number, since it uses less digits than its factorization.

13630743456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

The spelling of 13630743456 in words is "thirteen billion, six hundred thirty million, seven hundred forty-three thousand, four hundred fifty-six".