11248195791888 has 320 divisors, whose sum is σ = 35484754544640. Its totient is φ = 3383127820800.

The previous prime is 11248195791863. The next prime is 11248195791913. The reversal of 11248195791888 is 88819759184211.

11248195791888 is a `hidden beast` number, since 1 + 1 + 2 + 48 + 1 + 9 + 579 + 1 + 8 + 8 + 8 = 666.

11248195791888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 3353833²-1.

It is an interprime number because it is at equal distance from previous prime (11248195791863) and next prime (11248195791913).

It is a super-2 number, since 2×11248195791888² (a number of 27 digits) contains 22 as substring.

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

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, 724420381 + ... + 724435907.

It is an arithmetic number, because the mean of its divisors is an integer number (110889857952).

Almost surely, 2^{11248195791888} is an apocalyptic number.

11248195791888 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 11248195791888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17742377272320).

11248195791888 is an abundant number, since it is smaller than the sum of its proper divisors (24236558752752).

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

11248195791888 is a wasteful number, since it uses less digits than its factorization.

11248195791888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16683 (or 16671 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 72.

The spelling of 11248195791888 in words is "eleven trillion, two hundred forty-eight billion, one hundred ninety-five million, seven hundred ninety-one thousand, eight hundred eighty-eight".