12046905438624 has 192 divisors, whose sum is σ = 41010742886400. Its totient is φ = 3368739435264.

The previous prime is 12046905438619. The next prime is 12046905438641. The reversal of 12046905438624 is 42683450964021.

12046905438624 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 6 + 9 + 0 + 5 + 4 + 3 + 8 + 624 = 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 31 ways as a sum of consecutive naturals, for example, 20905984 + ... + 21474495.

It is an arithmetic number, because the mean of its divisors is an integer number (213597619200).

Almost surely, 2^{12046905438624} is an apocalyptic number.

12046905438624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12046905438624 is an abundant number, since it is smaller than the sum of its proper divisors (28963837447776).

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

12046905438624 is a wasteful number, since it uses less digits than its factorization.

12046905438624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42380552 (or 42380538 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 12046905438624 in words is "twelve trillion, forty-six billion, nine hundred five million, four hundred thirty-eight thousand, six hundred twenty-four".