11661738400325 has 12 divisors (see below), whose sum is σ = 15572906048868. Its totient is φ = 8611745280000.

The previous prime is 11661738400321. The next prime is 11661738400331. The reversal of 11661738400325 is 52300483716611.

11661738400325 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 6 ways, for example, as 4669743799681 + 6991994600644 = 2160959^2 + 2644238^2 .

It is not a de Polignac number, because 11661738400325 - 2² = 11661738400321 is a prime.

It is a super-2 number, since 2×11661738400325² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

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 11661738400325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11661738400321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17941135676 + ... + 17941136325.

It is an arithmetic number, because the mean of its divisors is an integer number (1297742170739).

Almost surely, 2^{11661738400325} is an apocalyptic number.

It is an amenable number.

11661738400325 is a deficient number, since it is larger than the sum of its proper divisors (3911167648543).

11661738400325 is a wasteful number, since it uses less digits than its factorization.

11661738400325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35882272024 (or 35882272019 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 11661738400325 in words is "eleven trillion, six hundred sixty-one billion, seven hundred thirty-eight million, four hundred thousand, three hundred twenty-five".