13349250432 has 384 divisors, whose sum is σ = 46598822400. Its totient is φ = 3583180800.

The previous prime is 13349250407. The next prime is 13349250437. The reversal of 13349250432 is 23405294331.

13349250432 is a `hidden beast` number, since 1 + 3 + 34 + 92 + 504 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (13349250437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23135328 + ... + 23135904.

It is an arithmetic number, because the mean of its divisors is an integer number (121351100).

Almost surely, 2^13349250432 is an apocalyptic number.

13349250432 is a gapful number since it is divisible by the number (12) 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 13349250432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23299411200).

13349250432 is an abundant number, since it is smaller than the sum of its proper divisors (33249571968).

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

13349250432 is a wasteful number, since it uses less digits than its factorization.

13349250432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 13349250432 in words is "thirteen billion, three hundred forty-nine million, two hundred fifty thousand, four hundred thirty-two".