13785348096 has 384 divisors, whose sum is σ = 44616499200. Its totient is φ = 4180377600.

The previous prime is 13785348091. The next prime is 13785348097. The reversal of 13785348096 is 69084358731.

13785348096 is a `hidden beast` number, since 1 + 3 + 78 + 5 + 3 + 480 + 96 = 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13785348091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91293621 + ... + 91293771.

It is an arithmetic number, because the mean of its divisors is an integer number (116188800).

Almost surely, 2^13785348096 is an apocalyptic number.

13785348096 is a gapful number since it is divisible by the number (16) 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 13785348096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22308249600).

13785348096 is an abundant number, since it is smaller than the sum of its proper divisors (30831151104).

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

13785348096 is a wasteful number, since it uses less digits than its factorization.

13785348096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 13785348096 in words is "thirteen billion, seven hundred eighty-five million, three hundred forty-eight thousand, ninety-six".