13628951691264 has 816 divisors, whose sum is σ = 50027397382144. Its totient is φ = 3478074163200.

The previous prime is 13628951691211. The next prime is 13628951691269. The reversal of 13628951691264 is 46219615982631.

13628951691264 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 8 + 9 + 516 + 91 + 26 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (13628951691269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1663889409 + ... + 1663897599.

Almost surely, 2^{13628951691264} is an apocalyptic number.

13628951691264 is a gapful number since it is divisible by the number (14) 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 13628951691264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25013698691072).

13628951691264 is an abundant number, since it is smaller than the sum of its proper divisors (36398445690880).

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

13628951691264 is an equidigital number, since it uses as much as digits as its factorization.

13628951691264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8280 (or 8247 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 13628951691264 in words is "thirteen trillion, six hundred twenty-eight billion, nine hundred fifty-one million, six hundred ninety-one thousand, two hundred sixty-four".