1123361174880 has 480 divisors, whose sum is σ = 4577636137536. Its totient is φ = 254119182336.

The previous prime is 1123361174879. The next prime is 1123361174939. The reversal of 1123361174880 is 884711633211.

1123361174880 is a `hidden beast` number, since 1 + 1 + 23 + 3 + 611 + 7 + 4 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 8736012 + ... + 8863668.

Almost surely, 2^{1123361174880} is an apocalyptic number.

1123361174880 is a gapful number since it is divisible by the number (10) 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 1123361174880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288818068768).

1123361174880 is an abundant number, since it is smaller than the sum of its proper divisors (3454274962656).

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

1123361174880 is a wasteful number, since it uses less digits than its factorization.

1123361174880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127788 (or 127771 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1123361174880 in words is "one trillion, one hundred twenty-three billion, three hundred sixty-one million, one hundred seventy-four thousand, eight hundred eighty".