11493893718648 has 768 divisors, whose sum is σ = 36508133376000. Its totient is φ = 3234075264000.

The previous prime is 11493893718641. The next prime is 11493893718649. The reversal of 11493893718648 is 84681739839411.

11493893718648 is a `hidden beast` number, since 1 + 1 + 493 + 8 + 9 + 3 + 71 + 8 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11493893718641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17441416543 + ... + 17441417201.

It is an arithmetic number, because the mean of its divisors is an integer number (47536632000).

Almost surely, 2^{11493893718648} is an apocalyptic number.

11493893718648 is a gapful number since it is divisible by the number (18) 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 11493893718648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18254066688000).

11493893718648 is an abundant number, since it is smaller than the sum of its proper divisors (25014239657352).

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

11493893718648 is a wasteful number, since it uses less digits than its factorization.

11493893718648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1009 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 72.

The spelling of 11493893718648 in words is "eleven trillion, four hundred ninety-three billion, eight hundred ninety-three million, seven hundred eighteen thousand, six hundred forty-eight".