11745281209050 has 288 divisors, whose sum is σ = 34395915038400. Its totient is φ = 2946520120320.

The previous prime is 11745281209007. The next prime is 11745281209073. The reversal of 11745281209050 is 5090218254711.

11745281209050 is a `hidden beast` number, since 1 + 1 + 74 + 528 + 1 + 2 + 0 + 9 + 0 + 50 = 666.

11745281209050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 11745281208987 and 11745281209005.

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, 1109191156 + ... + 1109201744.

It is an arithmetic number, because the mean of its divisors is an integer number (119430260550).

Almost surely, 2^{11745281209050} is an apocalyptic number.

11745281209050 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 11745281209050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17197957519200).

11745281209050 is an abundant number, since it is smaller than the sum of its proper divisors (22650633829350).

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

11745281209050 is a wasteful number, since it uses less digits than its factorization.

11745281209050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13487 (or 13459 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 11745281209050 in words is "eleven trillion, seven hundred forty-five billion, two hundred eighty-one million, two hundred nine thousand, fifty".