13625630208 has 180 divisors, whose sum is σ = 41508200448. Its totient is φ = 4302305280.

The previous prime is 13625630197. The next prime is 13625630209. The reversal of 13625630208 is 80203652631.

It is a happy number.

13625630208 is a `hidden beast` number, since 1 + 3 + 625 + 6 + 3 + 0 + 20 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13625630209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1659393 + ... + 1667583.

Almost surely, 2^13625630208 is an apocalyptic number.

13625630208 is a gapful number since it is divisible by the number (18) 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 13625630208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20754100224).

13625630208 is an abundant number, since it is smaller than the sum of its proper divisors (27882570240).

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

13625630208 is an equidigital number, since it uses as much as digits as its factorization.

13625630208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8253 (or 8215 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

It can be divided in two parts, 136256 and 30208, that added together give a square (166464 = 408²).

The spelling of 13625630208 in words is "thirteen billion, six hundred twenty-five million, six hundred thirty thousand, two hundred eight".