11613842560512 has 720 divisors, whose sum is σ = 36555569436672. Its totient is φ = 3678896517120.

The previous prime is 11613842560433. The next prime is 11613842560543. The reversal of 11613842560512 is 21506524831611.

11613842560512 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 3 + 8 + 4 + 25 + 605 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14757105783 + ... + 14757106569.

Almost surely, 2^{11613842560512} is an apocalyptic number.

11613842560512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11613842560512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18277784718336).

11613842560512 is an abundant number, since it is smaller than the sum of its proper divisors (24941726876160).

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

11613842560512 is an frugal number, since it uses more digits than its factorization.

11613842560512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 11613842560512 in words is "eleven trillion, six hundred thirteen billion, eight hundred forty-two million, five hundred sixty thousand, five hundred twelve".