13649351310 has 384 divisors, whose sum is σ = 43937095680. Its totient is φ = 3042204480.

The previous prime is 13649351299. The next prime is 13649351329. The reversal of 13649351310 is 1315394631.

It is a happy number.

13649351310 is a `hidden beast` number, since 1 + 3 + 649 + 3 + 5 + 1 + 3 + 1 + 0 = 666.

It is a super-2 number, since 2×13649351310² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50366475 + ... + 50366745.

It is an arithmetic number, because the mean of its divisors is an integer number (114419520).

Almost surely, 2^13649351310 is an apocalyptic number.

13649351310 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 13649351310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21968547840).

13649351310 is an abundant number, since it is smaller than the sum of its proper divisors (30287744370).

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

13649351310 is an equidigital number, since it uses as much as digits as its factorization.

13649351310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 13649351310 in words is "thirteen billion, six hundred forty-nine million, three hundred fifty-one thousand, three hundred ten".