11451540125205 has 192 divisors, whose sum is σ = 21730194053568. Its totient is φ = 5555363512320.

The previous prime is 11451540125191. The next prime is 11451540125237. The reversal of 11451540125205 is 50252104515411.

11451540125205 is a `hidden beast` number, since 1 + 1 + 4 + 51 + 540 + 12 + 52 + 0 + 5 = 666.

11451540125205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 32 ways, for example, as 4745605190481 + 6705934934724 = 2178441^2 + 2589582^2 .

It is not a de Polignac number, because 11451540125205 - 2⁸ = 11451540124949 is a prime.

It is a super-2 number, since 2×11451540125205² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11451540125205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2953709727 + ... + 2953713603.

It is an arithmetic number, because the mean of its divisors is an integer number (113178094029).

Almost surely, 2^{11451540125205} is an apocalyptic number.

11451540125205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11451540125205 is a deficient number, since it is larger than the sum of its proper divisors (10278653928363).

11451540125205 is a wasteful number, since it uses less digits than its factorization.

11451540125205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4616 (or 4613 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The spelling of 11451540125205 in words is "eleven trillion, four hundred fifty-one billion, five hundred forty million, one hundred twenty-five thousand, two hundred five".