1123188576480 has 72 divisors (see below), whose sum is σ = 3832881022152. Its totient is φ = 299516953344.

The previous prime is 1123188576473. The next prime is 1123188576487. The reversal of 1123188576480 is 846758813211.

1123188576480 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 18 + 85 + 76 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (1123188576473) and next prime (1123188576487).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×1123188576480³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123188576487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 389994594 + ... + 389997473.

It is an arithmetic number, because the mean of its divisors is an integer number (53234458641).

Almost surely, 2^{1123188576480} is an apocalyptic number.

1123188576480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123188576480 is an abundant number, since it is smaller than the sum of its proper divisors (2709692445672).

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

1123188576480 is a wasteful number, since it uses less digits than its factorization.

1123188576480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779992088 (or 779992077 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 1123188576480 in words is "one trillion, one hundred twenty-three billion, one hundred eighty-eight million, five hundred seventy-six thousand, four hundred eighty".