12358208016 has 640 divisors, whose sum is σ = 47825510400. Its totient is φ = 2959165440.

The previous prime is 12358207999. The next prime is 12358208047. The reversal of 12358208016 is 61080285321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22186810 + ... + 22187366.

It is an arithmetic number, because the mean of its divisors is an integer number (74727360).

Almost surely, 2^12358208016 is an apocalyptic number.

12358208016 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 12358208016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23912755200).

12358208016 is an abundant number, since it is smaller than the sum of its proper divisors (35467302384).

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

12358208016 is a wasteful number, since it uses less digits than its factorization.

12358208016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12358208016 in words is "twelve billion, three hundred fifty-eight million, two hundred eight thousand, sixteen".