12961613952 has 512 divisors, whose sum is σ = 46570752000. Its totient is φ = 3466727424.

The previous prime is 12961613947. The next prime is 12961613963. The reversal of 12961613952 is 25931616921.

12961613952 is a `hidden beast` number, since 1 + 29 + 6 + 1 + 613 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12961613898 and 12961613907.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74922538 + ... + 74922710.

It is an arithmetic number, because the mean of its divisors is an integer number (90958500).

Almost surely, 2^12961613952 is an apocalyptic number.

12961613952 is a gapful number since it is divisible by the number (12) 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 12961613952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23285376000).

12961613952 is an abundant number, since it is smaller than the sum of its proper divisors (33609138048).

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

12961613952 is a wasteful number, since it uses less digits than its factorization.

12961613952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 367 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The spelling of 12961613952 in words is "twelve billion, nine hundred sixty-one million, six hundred thirteen thousand, nine hundred fifty-two".