11453446003140 has 720 divisors, whose sum is σ = 38618538179760. Its totient is φ = 2839667466240.

The previous prime is 11453446003079. The next prime is 11453446003141. The reversal of 11453446003140 is 4130064435411.

11453446003140 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 3 + 4 + 4 + 600 + 3 + 1 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 155336880384 + 11298109122756 = 394128^2 + 3361266^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11453446003095 and 11453446003104.

It is not an unprimeable number, because it can be changed into a prime (11453446003141) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 14370697222 + ... + 14370698018.

It is an arithmetic number, because the mean of its divisors is an integer number (53636858583).

Almost surely, 2^{11453446003140} is an apocalyptic number.

11453446003140 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 11453446003140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19309269089880).

11453446003140 is an abundant number, since it is smaller than the sum of its proper divisors (27165092176620).

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

11453446003140 is a wasteful number, since it uses less digits than its factorization.

11453446003140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 11453446003140 in words is "eleven trillion, four hundred fifty-three billion, four hundred forty-six million, three thousand, one hundred forty".