13875681456 has 480 divisors, whose sum is σ = 51919296000. Its totient is φ = 3464487936.

The previous prime is 13875681439. The next prime is 13875681553. The reversal of 13875681456 is 65418657831.

It is a happy number.

13875681456 is a `hidden beast` number, since 1 + 38 + 7 + 568 + 1 + 45 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9709350 + ... + 9710778.

It is an arithmetic number, because the mean of its divisors is an integer number (108165200).

Almost surely, 2^13875681456 is an apocalyptic number.

13875681456 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 13875681456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25959648000).

13875681456 is an abundant number, since it is smaller than the sum of its proper divisors (38043614544).

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

13875681456 is a wasteful number, since it uses less digits than its factorization.

13875681456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1473 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 13875681456 in words is "thirteen billion, eight hundred seventy-five million, six hundred eighty-one thousand, four hundred fifty-six".