11458889505450 has 288 divisors, whose sum is σ = 33658411438080. Its totient is φ = 2782379980800.

The previous prime is 11458889505421. The next prime is 11458889505499. The reversal of 11458889505450 is 5450598885411.

11458889505450 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 8 + 8 + 89 + 5 + 0 + 545 + 0 = 666.

It is a super-3 number, since 3×11458889505450³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1509930256 + ... + 1509937844.

It is an arithmetic number, because the mean of its divisors is an integer number (116869484160).

Almost surely, 2^{11458889505450} is an apocalyptic number.

11458889505450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11458889505450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16829205719040).

11458889505450 is an abundant number, since it is smaller than the sum of its proper divisors (22199521932630).

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

11458889505450 is a wasteful number, since it uses less digits than its factorization.

11458889505450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14022 (or 14014 counting only the distinct ones).

The product of its (nonzero) digits is 46080000, while the sum is 63.

The spelling of 11458889505450 in words is "eleven trillion, four hundred fifty-eight billion, eight hundred eighty-nine million, five hundred five thousand, four hundred fifty".