12031685485344 has 144 divisors (see below), whose sum is σ = 40364364418560. Its totient is φ = 3326733296640.

The previous prime is 12031685485297. The next prime is 12031685485399. The reversal of 12031685485344 is 44358458613021.

12031685485344 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 1 + 6 + 8 + 548 + 53 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12031685485344² (a number of 27 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, 96197149 + ... + 96322140.

It is an arithmetic number, because the mean of its divisors is an integer number (280308086240).

Almost surely, 2^{12031685485344} is an apocalyptic number.

12031685485344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12031685485344 is an abundant number, since it is smaller than the sum of its proper divisors (28332678933216).

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

12031685485344 is a wasteful number, since it uses less digits than its factorization.

12031685485344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192519343 (or 192519332 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 12031685485344 in words is "twelve trillion, thirty-one billion, six hundred eighty-five million, four hundred eighty-five thousand, three hundred forty-four".