13729227435 has 240 divisors, whose sum is σ = 31572810720. Its totient is φ = 5643509760.

The previous prime is 13729227433. The next prime is 13729227451. The reversal of 13729227435 is 53472292731.

13729227435 is a `hidden beast` number, since 1 + 372 + 9 + 2 + 274 + 3 + 5 = 666.

13729227435 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13729227435 - 2¹ = 13729227433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13729227433) 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 239 ways as a sum of consecutive naturals, for example, 23793867 + ... + 23794443.

It is an arithmetic number, because the mean of its divisors is an integer number (131553378).

Almost surely, 2^13729227435 is an apocalyptic number.

13729227435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13729227435 is an abundant number, since it is smaller than the sum of its proper divisors (17843583285).

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

13729227435 is a wasteful number, since it uses less digits than its factorization.

13729227435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 712 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The spelling of 13729227435 in words is "thirteen billion, seven hundred twenty-nine million, two hundred twenty-seven thousand, four hundred thirty-five".