13735224063 has 48 divisors (see below), whose sum is σ = 22082471424. Its totient is φ = 8155942080.

The previous prime is 13735224053. The next prime is 13735224079. The reversal of 13735224063 is 36042253731.

13735224063 is a `hidden beast` number, since 1 + 3 + 7 + 352 + 240 + 63 = 666.

It is not a de Polignac number, because 13735224063 - 2⁴ = 13735224047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13735224053) 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, 5156470 + ... + 5159132.

It is an arithmetic number, because the mean of its divisors is an integer number (460051488).

Almost surely, 2^13735224063 is an apocalyptic number.

13735224063 is a deficient number, since it is larger than the sum of its proper divisors (8347247361).

13735224063 is a wasteful number, since it uses less digits than its factorization.

13735224063 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3716 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Adding to 13735224063 its reverse (36042253731), we get a palindrome (49777477794).

The spelling of 13735224063 in words is "thirteen billion, seven hundred thirty-five million, two hundred twenty-four thousand, sixty-three".