11673089221248 has 320 divisors, whose sum is σ = 42755602686720. Its totient is φ = 3078616688640.

The previous prime is 11673089221207. The next prime is 11673089221253. The reversal of 11673089221248 is 84212298037611.

11673089221248 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 308 + 92 + 2 + 1 + 248 = 666.

It is a super-2 number, since 2×11673089221248² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11673089221194 and 11673089221203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5242648 + ... + 7129623.

It is an arithmetic number, because the mean of its divisors is an integer number (133611258396).

Almost surely, 2^{11673089221248} is an apocalyptic number.

11673089221248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11673089221248 is an abundant number, since it is smaller than the sum of its proper divisors (31082513465472).

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

11673089221248 is a wasteful number, since it uses less digits than its factorization.

11673089221248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12372317 (or 12372296 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 11673089221248 in words is "eleven trillion, six hundred seventy-three billion, eighty-nine million, two hundred twenty-one thousand, two hundred forty-eight".