11104456602624 has 704 divisors, whose sum is σ = 38161737449472. Its totient is φ = 2786055782400.

The previous prime is 11104456602619. The next prime is 11104456602649. The reversal of 11104456602624 is 42620665440111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-3 number, since 3×11104456602624³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5330991087 + ... + 5330993169.

Almost surely, 2^{11104456602624} is an apocalyptic number.

11104456602624 is a gapful number since it is divisible by the number (14) 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 11104456602624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19080868724736).

11104456602624 is an abundant number, since it is smaller than the sum of its proper divisors (27057280846848).

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

11104456602624 is a wasteful number, since it uses less digits than its factorization.

11104456602624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 11104456602624 in words is "eleven trillion, one hundred four billion, four hundred fifty-six million, six hundred two thousand, six hundred twenty-four".