13708413810 has 256 divisors, whose sum is σ = 45117112320. Its totient is φ = 2884273920.

The previous prime is 13708413799. The next prime is 13708413847. The reversal of 13708413810 is 1831480731.

13708413810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13708413810² (a number of 21 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 13832415 + ... + 13833405.

It is an arithmetic number, because the mean of its divisors is an integer number (176238720).

Almost surely, 2^13708413810 is an apocalyptic number.

13708413810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13708413810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22558556160).

13708413810 is an abundant number, since it is smaller than the sum of its proper divisors (31408698510).

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

13708413810 is a wasteful number, since it uses less digits than its factorization.

13708413810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 13708413810 in words is "thirteen billion, seven hundred eight million, four hundred thirteen thousand, eight hundred ten".