12646283520 has 288 divisors, whose sum is σ = 43782480000. Its totient is φ = 3110854656.

The previous prime is 12646283491. The next prime is 12646283521. The reversal of 12646283520 is 2538264621.

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

It is not an unprimeable number, because it can be changed into a prime (12646283521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8435731 + ... + 8437229.

It is an arithmetic number, because the mean of its divisors is an integer number (152022500).

Almost surely, 2^12646283520 is an apocalyptic number.

12646283520 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 12646283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21891240000).

12646283520 is an abundant number, since it is smaller than the sum of its proper divisors (31136196480).

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

12646283520 is an equidigital number, since it uses as much as digits as its factorization.

12646283520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 12646283520 in words is "twelve billion, six hundred forty-six million, two hundred eighty-three thousand, five hundred twenty".