12955630431744 has 1440 divisors, whose sum is σ = 51305223505536. Its totient is φ = 3093758115840.

The previous prime is 12955630431713. The next prime is 12955630431749. The reversal of 12955630431744 is 44713403655921.

12955630431744 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 563 + 0 + 4 + 3 + 1 + 74 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12955630431749) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9912493939 + ... + 9912495245.

Almost surely, 2^{12955630431744} is an apocalyptic number.

12955630431744 is a gapful number since it is divisible by the number (14) 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 12955630431744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25652611752768).

12955630431744 is an abundant number, since it is smaller than the sum of its proper divisors (38349593073792).

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

12955630431744 is a wasteful number, since it uses less digits than its factorization.

12955630431744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 12955630431744 in words is "twelve trillion, nine hundred fifty-five billion, six hundred thirty million, four hundred thirty-one thousand, seven hundred forty-four".