12916413952 has 160 divisors (see below), whose sum is σ = 29621791584. Its totient is φ = 5573836800.

The previous prime is 12916413893. The next prime is 12916413973. The reversal of 12916413952 is 25931461921.

It is a junction number, because it is equal to n+sod(n) for n = 12916413899 and 12916413908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23874802 + ... + 23875342.

Almost surely, 2^12916413952 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 12916413952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14810895792).

12916413952 is an abundant number, since it is smaller than the sum of its proper divisors (16705377632).

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

12916413952 is a wasteful number, since it uses less digits than its factorization.

12916413952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 784 counting only the distinct ones).

The product of its digits is 116640, while the sum is 43.

The spelling of 12916413952 in words is "twelve billion, nine hundred sixteen million, four hundred thirteen thousand, nine hundred fifty-two".