12046516385850 has 192 divisors, whose sum is σ = 33544804423680. Its totient is φ = 3178679025600.

The previous prime is 12046516385821. The next prime is 12046516385873. The reversal of 12046516385850 is 5858361564021.

12046516385850 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 6 + 51 + 6 + 3 + 8 + 585 + 0 = 666.

12046516385850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 61268799 + ... + 61465101.

It is an arithmetic number, because the mean of its divisors is an integer number (174712523040).

Almost surely, 2^{12046516385850} is an apocalyptic number.

12046516385850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12046516385850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16772402211840).

12046516385850 is an abundant number, since it is smaller than the sum of its proper divisors (21498288037830).

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

12046516385850 is a wasteful number, since it uses less digits than its factorization.

12046516385850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196802 (or 196791 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 12046516385850 in words is "twelve trillion, forty-six billion, five hundred sixteen million, three hundred eighty-five thousand, eight hundred fifty".