11947010505336 has 320 divisors, whose sum is σ = 34705262592000. Its totient is φ = 3835715212800.

The previous prime is 11947010505293. The next prime is 11947010505337. The reversal of 11947010505336 is 63350501074911.

11947010505336 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 7 + 0 + 105 + 0 + 533 + 6 = 666.

11947010505336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11947010505291 and 11947010505300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11947010505337) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6553488121 + ... + 6553489943.

It is an arithmetic number, because the mean of its divisors is an integer number (108453945600).

Almost surely, 2^{11947010505336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11947010505336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17352631296000).

11947010505336 is an abundant number, since it is smaller than the sum of its proper divisors (22758252086664).

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

11947010505336 is a wasteful number, since it uses less digits than its factorization.

11947010505336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232 (or 3219 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 11947010505336 in words is "eleven trillion, nine hundred forty-seven billion, ten million, five hundred five thousand, three hundred thirty-six".