13845376116 has 384 divisors, whose sum is σ = 44074598400. Its totient is φ = 3732220800.

The previous prime is 13845376099. The next prime is 13845376117. The reversal of 13845376116 is 61167354831.

13845376116 is a `hidden beast` number, since 13 + 8 + 453 + 76 + 116 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13845376117) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57930325 + ... + 57930563.

It is an arithmetic number, because the mean of its divisors is an integer number (114777600).

Almost surely, 2^13845376116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13845376116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22037299200).

13845376116 is an abundant number, since it is smaller than the sum of its proper divisors (30229222284).

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

13845376116 is a wasteful number, since it uses less digits than its factorization.

13845376116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 299 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 13845376116 in words is "thirteen billion, eight hundred forty-five million, three hundred seventy-six thousand, one hundred sixteen".