12406146816 has 144 divisors (see below), whose sum is σ = 38354989568. Its totient is φ = 3486412800.

The previous prime is 12406146803. The next prime is 12406146839. The reversal of 12406146816 is 61864160421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309021 + ... + 346851.

Almost surely, 2^12406146816 is an apocalyptic number.

12406146816 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 12406146816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19177494784).

12406146816 is an abundant number, since it is smaller than the sum of its proper divisors (25948842752).

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

12406146816 is an equidigital number, since it uses as much as digits as its factorization.

12406146816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37918 (or 37904 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 12406146816 in words is "twelve billion, four hundred six million, one hundred forty-six thousand, eight hundred sixteen".