11648264243616 has 768 divisors, whose sum is σ = 45722880000000. Its totient is φ = 2786221670400.

The previous prime is 11648264243579. The next prime is 11648264243683. The reversal of 11648264243616 is 61634246284611.

11648264243616 is a `hidden beast` number, since 1 + 1 + 6 + 482 + 64 + 2 + 43 + 61 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 372740760 + ... + 372772008.

It is an arithmetic number, because the mean of its divisors is an integer number (59535000000).

Almost surely, 2^{11648264243616} is an apocalyptic number.

11648264243616 is a gapful number since it is divisible by the number (16) 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 11648264243616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22861440000000).

11648264243616 is an abundant number, since it is smaller than the sum of its proper divisors (34074615756384).

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

11648264243616 is a wasteful number, since it uses less digits than its factorization.

11648264243616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31730 (or 31716 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 11648264243616 in words is "eleven trillion, six hundred forty-eight billion, two hundred sixty-four million, two hundred forty-three thousand, six hundred sixteen".