13638796416 has 384 divisors, whose sum is σ = 47939918400. Its totient is φ = 3804143616.

The previous prime is 13638796357. The next prime is 13638796463. The reversal of 13638796416 is 61469783631.

It is a happy number.

13638796416 is a `hidden beast` number, since 1 + 3 + 63 + 87 + 96 + 416 = 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 nude number because it is divisible by every one of its digits.

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, 7280856 + ... + 7282728.

Almost surely, 2^13638796416 is an apocalyptic number.

13638796416 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 13638796416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23969959200).

13638796416 is an abundant number, since it is smaller than the sum of its proper divisors (34301121984).

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

13638796416 is a wasteful number, since it uses less digits than its factorization.

13638796416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1928 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 13638796416 in words is "thirteen billion, six hundred thirty-eight million, seven hundred ninety-six thousand, four hundred sixteen".