13776825384 has 640 divisors, whose sum is σ = 48943319040. Its totient is φ = 3535031808.

The previous prime is 13776825379. The next prime is 13776825397. The reversal of 13776825384 is 48352867731.

It is a happy number.

13776825384 is a `hidden beast` number, since 1 + 37 + 76 + 8 + 2 + 538 + 4 = 666.

It is a super-2 number, since 2×13776825384² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13776825384.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 165985807 + ... + 165985889.

It is an arithmetic number, because the mean of its divisors is an integer number (76473936).

Almost surely, 2^13776825384 is an apocalyptic number.

13776825384 is a gapful number since it is divisible by the number (14) 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 13776825384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24471659520).

13776825384 is an abundant number, since it is smaller than the sum of its proper divisors (35166493656).

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

13776825384 is a wasteful number, since it uses less digits than its factorization.

13776825384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 198 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

It can be divided in two parts, 13776 and 825384, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 13776825384 in words is "thirteen billion, seven hundred seventy-six million, eight hundred twenty-five thousand, three hundred eighty-four".