11197757740248 has 192 divisors, whose sum is σ = 30911969088000. Its totient is φ = 3660923874816.

The previous prime is 11197757740207. The next prime is 11197757740249. The reversal of 11197757740248 is 84204775779111.

11197757740248 is a `hidden beast` number, since 1 + 1 + 1 + 97 + 75 + 77 + 402 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11197757740249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6062672461 + ... + 6062674307.

It is an arithmetic number, because the mean of its divisors is an integer number (160999839000).

Almost surely, 2^{11197757740248} is an apocalyptic number.

11197757740248 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 11197757740248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15455984544000).

11197757740248 is an abundant number, since it is smaller than the sum of its proper divisors (19714211347752).

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

11197757740248 is a wasteful number, since it uses less digits than its factorization.

11197757740248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4414 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 27659520, while the sum is 63.

The spelling of 11197757740248 in words is "eleven trillion, one hundred ninety-seven billion, seven hundred fifty-seven million, seven hundred forty thousand, two hundred forty-eight".