11458960104384 has 560 divisors, whose sum is σ = 37642403272320. Its totient is φ = 3424443402240.

The previous prime is 11458960104373. The next prime is 11458960104401. The reversal of 11458960104384 is 48340106985411.

11458960104384 is a `hidden beast` number, since 1 + 1 + 4 + 589 + 6 + 0 + 10 + 43 + 8 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11458960104384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 518705179 + ... + 518727269.

It is an arithmetic number, because the mean of its divisors is an integer number (67218577272).

Almost surely, 2^{11458960104384} 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 11458960104384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18821201636160).

11458960104384 is an abundant number, since it is smaller than the sum of its proper divisors (26183443167936).

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

11458960104384 is a wasteful number, since it uses less digits than its factorization.

11458960104384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22350 (or 22331 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 11458960104384 in words is "eleven trillion, four hundred fifty-eight billion, nine hundred sixty million, one hundred four thousand, three hundred eighty-four".