11458360116000 has 1440 divisors, whose sum is σ = 49316178143232. Its totient is φ = 2597974041600.

The previous prime is 11458360115999. The next prime is 11458360116019. The reversal of 11458360116000 is 61106385411.

It is a happy number.

11458360116000 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 8 + 36 + 0 + 11 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2016249159 + ... + 2016254841.

Almost surely, 2^{11458360116000} is an apocalyptic number.

11458360116000 is a gapful number since it is divisible by the number (10) 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 11458360116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24658089071616).

11458360116000 is an abundant number, since it is smaller than the sum of its proper divisors (37857818027232).

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

11458360116000 is a wasteful number, since it uses less digits than its factorization.

11458360116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5861 (or 5827 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11458360116000 in words is "eleven trillion, four hundred fifty-eight billion, three hundred sixty million, one hundred sixteen thousand".