13838475456 has 560 divisors, whose sum is σ = 47956841856. Its totient is φ = 3906994176.

The previous prime is 13838475437. The next prime is 13838475479. The reversal of 13838475456 is 65457483831.

13838475456 is a `hidden beast` number, since 13 + 8 + 3 + 84 + 7 + 545 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53846080 + ... + 53846336.

Almost surely, 2^13838475456 is an apocalyptic number.

13838475456 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 13838475456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23978420928).

13838475456 is an abundant number, since it is smaller than the sum of its proper divisors (34118366400).

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

13838475456 is a wasteful number, since it uses less digits than its factorization.

13838475456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 339 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 13838475456 in words is "thirteen billion, eight hundred thirty-eight million, four hundred seventy-five thousand, four hundred fifty-six".