11451830844608 has 224 divisors, whose sum is σ = 29856700873728. Its totient is φ = 4225503744000.

The previous prime is 11451830844529. The next prime is 11451830844691. The reversal of 11451830844608 is 80644803815411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×11451830844608² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11451830844608.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10947566 + ... + 11947922.

Almost surely, 2^{11451830844608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11451830844608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14928350436864).

11451830844608 is an abundant number, since it is smaller than the sum of its proper divisors (18404870029120).

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

11451830844608 is a wasteful number, since it uses less digits than its factorization.

11451830844608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000511 (or 1000501 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 53.

The spelling of 11451830844608 in words is "eleven trillion, four hundred fifty-one billion, eight hundred thirty million, eight hundred forty-four thousand, six hundred eight".