13680912258 has 64 divisors (see below), whose sum is σ = 32765241600. Its totient is φ = 4206349440.

The previous prime is 13680912253. The next prime is 13680912263. The reversal of 13680912258 is 85221908631.

13680912258 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13680912253) and next prime (13680912263).

It is a super-2 number, since 2×13680912258² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13680912253) by changing a digit.

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, 1033083 + ... + 1046241.

It is an arithmetic number, because the mean of its divisors is an integer number (511956900).

Almost surely, 2^13680912258 is an apocalyptic number.

13680912258 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13680912258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16382620800).

13680912258 is an abundant number, since it is smaller than the sum of its proper divisors (19084329342).

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

13680912258 is a wasteful number, since it uses less digits than its factorization.

13680912258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14664 (or 14658 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 13680912258 in words is "thirteen billion, six hundred eighty million, nine hundred twelve thousand, two hundred fifty-eight".