12958396416 has 416 divisors, whose sum is σ = 46236556800. Its totient is φ = 3503554560.

The previous prime is 12958396343. The next prime is 12958396427. The reversal of 12958396416 is 61469385921.

12958396416 is a `hidden beast` number, since 12 + 9 + 583 + 9 + 6 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14708296 + ... + 14709176.

Almost surely, 2^12958396416 is an apocalyptic number.

12958396416 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 12958396416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23118278400).

12958396416 is an abundant number, since it is smaller than the sum of its proper divisors (33278160384).

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

12958396416 is an equidigital number, since it uses as much as digits as its factorization.

12958396416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 912 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 12958396416 in words is "twelve billion, nine hundred fifty-eight million, three hundred ninety-six thousand, four hundred sixteen".