13845536712 has 320 divisors, whose sum is σ = 47149344000. Its totient is φ = 3705606144.

The previous prime is 13845536707. The next prime is 13845536737. The reversal of 13845536712 is 21763554831.

It is a happy number.

13845536712 is a `hidden beast` number, since 1 + 3 + 8 + 45 + 536 + 71 + 2 = 666.

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, 31538589 + ... + 31539027.

It is an arithmetic number, because the mean of its divisors is an integer number (147341700).

Almost surely, 2^13845536712 is an apocalyptic number.

13845536712 is a gapful number since it is divisible by the number (12) 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 13845536712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23574672000).

13845536712 is an abundant number, since it is smaller than the sum of its proper divisors (33303807288).

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

13845536712 is a wasteful number, since it uses less digits than its factorization.

13845536712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 877 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 13845536712 in words is "thirteen billion, eight hundred forty-five million, five hundred thirty-six thousand, seven hundred twelve".