11073608673456 has 320 divisors, whose sum is σ = 34826270976000. Its totient is φ = 3025017160704.

The previous prime is 11073608673443. The next prime is 11073608673467. The reversal of 11073608673456 is 65437680637011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11073608673396 and 11073608673405.

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, 1150022050 + ... + 1150031678.

It is an arithmetic number, because the mean of its divisors is an integer number (108832096800).

Almost surely, 2^{11073608673456} is an apocalyptic number.

11073608673456 is a gapful number since it is divisible by the number (16) 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 11073608673456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17413135488000).

11073608673456 is an abundant number, since it is smaller than the sum of its proper divisors (23752662302544).

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

11073608673456 is a wasteful number, since it uses less digits than its factorization.

11073608673456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12721 (or 12701 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 11073608673456 in words is "eleven trillion, seventy-three billion, six hundred eight million, six hundred seventy-three thousand, four hundred fifty-six".