13845617856 has 168 divisors, whose sum is σ = 46581710240. Its totient is φ = 3848933376.

The previous prime is 13845617839. The next prime is 13845617861. The reversal of 13845617856 is 65871654831.

It is a happy number.

13845617856 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 561 + 78 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×13845617856² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102780 + ... + 195588.

Almost surely, 2^13845617856 is an apocalyptic number.

13845617856 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 13845617856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23290855120).

13845617856 is an abundant number, since it is smaller than the sum of its proper divisors (32736092384).

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

13845617856 is a wasteful number, since it uses less digits than its factorization.

13845617856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92871 (or 92858 counting only the distinct ones).

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

The spelling of 13845617856 in words is "thirteen billion, eight hundred forty-five million, six hundred seventeen thousand, eight hundred fifty-six".