13785958368 has 288 divisors, whose sum is σ = 48728848896. Its totient is φ = 3599852544.

The previous prime is 13785958363. The next prime is 13785958397. The reversal of 13785958368 is 86385958731.

13785958368 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 595 + 8 + 36 + 8 = 666.

13785958368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13785958363) 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, 2696871 + ... + 2701977.

It is an arithmetic number, because the mean of its divisors is an integer number (169197392).

Almost surely, 2^13785958368 is an apocalyptic number.

13785958368 is a gapful number since it is divisible by the number (18) 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 13785958368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24364424448).

13785958368 is an abundant number, since it is smaller than the sum of its proper divisors (34942890528).

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

13785958368 is a wasteful number, since it uses less digits than its factorization.

13785958368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5246 (or 5235 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 13785958368 in words is "thirteen billion, seven hundred eighty-five million, nine hundred fifty-eight thousand, three hundred sixty-eight".