11318072254848 has 192 divisors, whose sum is σ = 32875608963600. Its totient is φ = 3737323966464.

The previous prime is 11318072254793. The next prime is 11318072254849. The reversal of 11318072254848 is 84845227081311.

11318072254848 is a `hidden beast` number, since 1 + 1 + 31 + 8 + 0 + 7 + 22 + 548 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 11318072254794 and 11318072254803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11318072254849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55102483 + ... + 55307501.

Almost surely, 2^{11318072254848} is an apocalyptic number.

11318072254848 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 11318072254848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16437804481800).

11318072254848 is an abundant number, since it is smaller than the sum of its proper divisors (21557536708752).

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

11318072254848 is a wasteful number, since it uses less digits than its factorization.

11318072254848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205489 (or 205474 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 11318072254848 in words is "eleven trillion, three hundred eighteen billion, seventy-two million, two hundred fifty-four thousand, eight hundred forty-eight".