12145463616 has 224 divisors, whose sum is σ = 37985931648. Its totient is φ = 3376373760.

The previous prime is 12145463543. The next prime is 12145463641. The reversal of 12145463616 is 61636454121.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 4748610 + ... + 4751166.

It is an arithmetic number, because the mean of its divisors is an integer number (169580052).

Almost surely, 2^12145463616 is an apocalyptic number.

12145463616 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 12145463616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18992965824).

12145463616 is an abundant number, since it is smaller than the sum of its proper divisors (25840468032).

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

12145463616 is a wasteful number, since it uses less digits than its factorization.

12145463616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2759 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The spelling of 12145463616 in words is "twelve billion, one hundred forty-five million, four hundred sixty-three thousand, six hundred sixteen".