11219948193168 has 800 divisors, whose sum is σ = 38626475247360. Its totient is φ = 3099511111680.

The previous prime is 11219948193127. The next prime is 11219948193169. The reversal of 11219948193168 is 86139184991211.

11219948193168 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 9 + 9 + 481 + 93 + 1 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11219948193169) 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 159 ways as a sum of consecutive naturals, for example, 10861517580 + ... + 10861518612.

Almost surely, 2^{11219948193168} is an apocalyptic number.

11219948193168 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 11219948193168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19313237623680).

11219948193168 is an abundant number, since it is smaller than the sum of its proper divisors (27406527054192).

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

11219948193168 is a wasteful number, since it uses less digits than its factorization.

11219948193168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1734 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 63.

The spelling of 11219948193168 in words is "eleven trillion, two hundred nineteen billion, nine hundred forty-eight million, one hundred ninety-three thousand, one hundred sixty-eight".