12945421536 has 96 divisors (see below), whose sum is σ = 34553433600. Its totient is φ = 4243147776.

The previous prime is 12945421519. The next prime is 12945421553. The reversal of 12945421536 is 63512454921.

It is an interprime number because it is at equal distance from previous prime (12945421519) and next prime (12945421553).

It is a tau number, because it is divible by the number of its divisors (96).

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, 1402665 + ... + 1411863.

It is an arithmetic number, because the mean of its divisors is an integer number (359931600).

Almost surely, 2^12945421536 is an apocalyptic number.

12945421536 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 12945421536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17276716800).

12945421536 is an abundant number, since it is smaller than the sum of its proper divisors (21608012064).

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

12945421536 is a wasteful number, since it uses less digits than its factorization.

12945421536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9456 (or 9448 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The spelling of 12945421536 in words is "twelve billion, nine hundred forty-five million, four hundred twenty-one thousand, five hundred thirty-six".