11147560326144 has 704 divisors, whose sum is σ = 39218292864000. Its totient is φ = 3089856430080.

The previous prime is 11147560326127. The next prime is 11147560326167. The reversal of 11147560326144 is 44162306574111.

11147560326144 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 7 + 5 + 603 + 26 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a self number, because there is not a number n which added to its sum of digits gives 11147560326144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 167541267 + ... + 167607789.

Almost surely, 2^{11147560326144} 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 11147560326144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19609146432000).

11147560326144 is an abundant number, since it is smaller than the sum of its proper divisors (28070732537856).

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

11147560326144 is a wasteful number, since it uses less digits than its factorization.

11147560326144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66611 (or 66587 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 11147560326144 in words is "eleven trillion, one hundred forty-seven billion, five hundred sixty million, three hundred twenty-six thousand, one hundred forty-four".