13846795776 has 400 divisors, whose sum is σ = 45631365120. Its totient is φ = 4145541120.

The previous prime is 13846795769. The next prime is 13846795799. The reversal of 13846795776 is 67759764831.

13846795776 is a `hidden beast` number, since 13 + 8 + 46 + 7 + 9 + 577 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57936265 + ... + 57936503.

Almost surely, 2^13846795776 is an apocalyptic number.

13846795776 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 13846795776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22815682560).

13846795776 is an abundant number, since it is smaller than the sum of its proper divisors (31784569344).

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

13846795776 is a wasteful number, since it uses less digits than its factorization.

13846795776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 382 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 63.

The spelling of 13846795776 in words is "thirteen billion, eight hundred forty-six million, seven hundred ninety-five thousand, seven hundred seventy-six".