12830254416 has 480 divisors, whose sum is σ = 45718145280. Its totient is φ = 3372834816.

The previous prime is 12830254391. The next prime is 12830254429. The reversal of 12830254416 is 61445203821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46318470 + ... + 46318746.

It is an arithmetic number, because the mean of its divisors is an integer number (95246136).

Almost surely, 2^12830254416 is an apocalyptic number.

12830254416 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 12830254416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22859072640).

12830254416 is an abundant number, since it is smaller than the sum of its proper divisors (32887890864).

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

12830254416 is a wasteful number, since it uses less digits than its factorization.

12830254416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12830254416 in words is "twelve billion, eight hundred thirty million, two hundred fifty-four thousand, four hundred sixteen".