13645135350 has 432 divisors, whose sum is σ = 47067027696. Its totient is φ = 2802240000.

The previous prime is 13645135337. The next prime is 13645135393. The reversal of 13645135350 is 5353154631.

13645135350 is a `hidden beast` number, since 1 + 3 + 645 + 1 + 3 + 5 + 3 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 24497272 + ... + 24497828.

It is an arithmetic number, because the mean of its divisors is an integer number (108951453).

Almost surely, 2^13645135350 is an apocalyptic number.

13645135350 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 13645135350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23533513848).

13645135350 is an abundant number, since it is smaller than the sum of its proper divisors (33421892346).

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

13645135350 is a wasteful number, since it uses less digits than its factorization.

13645135350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 13645135350 its reverse (5353154631), we get a palindrome (18998289981).

The spelling of 13645135350 in words is "thirteen billion, six hundred forty-five million, one hundred thirty-five thousand, three hundred fifty".