12846417360 has 480 divisors, whose sum is σ = 48110135040. Its totient is φ = 2776965120.

The previous prime is 12846417359. The next prime is 12846417439. The reversal of 12846417360 is 6371464821.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117856986 + ... + 117857094.

It is an arithmetic number, because the mean of its divisors is an integer number (100229448).

Almost surely, 2^12846417360 is an apocalyptic number.

12846417360 is a gapful number since it is divisible by the number (10) 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 12846417360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24055067520).

12846417360 is an abundant number, since it is smaller than the sum of its proper divisors (35263717680).

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

12846417360 is a wasteful number, since it uses less digits than its factorization.

12846417360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 12846417360 in words is "twelve billion, eight hundred forty-six million, four hundred seventeen thousand, three hundred sixty".