12354705408 has 96 divisors (see below), whose sum is σ = 32984340480. Its totient is φ = 4112424960.

The previous prime is 12354705403. The next prime is 12354705413. The reversal of 12354705408 is 80450745321.

It is an interprime number because it is at equal distance from previous prime (12354705403) and next prime (12354705413).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12354705403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8398113 + ... + 8399583.

It is an arithmetic number, because the mean of its divisors is an integer number (343586880).

Almost surely, 2^12354705408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12354705408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16492170240).

12354705408 is an abundant number, since it is smaller than the sum of its proper divisors (20629635072).

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

12354705408 is a wasteful number, since it uses less digits than its factorization.

12354705408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 12354705408 in words is "twelve billion, three hundred fifty-four million, seven hundred five thousand, four hundred eight".