13783464408 has 192 divisors, whose sum is σ = 42550272000. Its totient is φ = 3697075200.

The previous prime is 13783464389. The next prime is 13783464437. The reversal of 13783464408 is 80446438731.

It is a happy number.

It is a Cunningham number, because it is equal to 117403²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11974633 + ... + 11975783.

It is an arithmetic number, because the mean of its divisors is an integer number (221616000).

Almost surely, 2^13783464408 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 13783464408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21275136000).

13783464408 is an abundant number, since it is smaller than the sum of its proper divisors (28766807592).

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

13783464408 is a wasteful number, since it uses less digits than its factorization.

13783464408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 13783464408 in words is "thirteen billion, seven hundred eighty-three million, four hundred sixty-four thousand, four hundred eight".