13478507350 has 96 divisors (see below), whose sum is σ = 31289711616. Its totient is φ = 4196582400.

The previous prime is 13478507303. The next prime is 13478507359. The reversal of 13478507350 is 5370587431.

13478507350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13478507297 and 13478507306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13478507359) 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 47 ways as a sum of consecutive naturals, for example, 6532419 + ... + 6534481.

It is an arithmetic number, because the mean of its divisors is an integer number (325934496).

Almost surely, 2^13478507350 is an apocalyptic number.

13478507350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13478507350 is an abundant number, since it is smaller than the sum of its proper divisors (17811204266).

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

13478507350 is a wasteful number, since it uses less digits than its factorization.

13478507350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 43.

The spelling of 13478507350 in words is "thirteen billion, four hundred seventy-eight million, five hundred seven thousand, three hundred fifty".