9129401132544 has 1920 divisors, whose sum is σ = 36469265817600. Its totient is φ = 2189597736960.

The previous prime is 9129401132519. The next prime is 9129401132549. The reversal of 9129401132544 is 4452311049219.

9129401132544 is a `hidden beast` number, since 9 + 1 + 2 + 94 + 0 + 1 + 13 + 2 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 9129401132544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9129401132549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18149902597 + ... + 18149903099.

It is an arithmetic number, because the mean of its divisors is an integer number (18994409280).

Almost surely, 2^{9129401132544} 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 9129401132544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18234632908800).

9129401132544 is an abundant number, since it is smaller than the sum of its proper divisors (27339864685056).

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

9129401132544 is a wasteful number, since it uses less digits than its factorization.

9129401132544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 9129401132544 in words is "nine trillion, one hundred twenty-nine billion, four hundred one million, one hundred thirty-two thousand, five hundred forty-four".