1180441774512 has 480 divisors, whose sum is σ = 4669062827520. Its totient is φ = 268126433280.

The previous prime is 1180441774433. The next prime is 1180441774537. The reversal of 1180441774512 is 2154771440811.

1180441774512 is a `hidden beast` number, since 1 + 1 + 80 + 44 + 17 + 7 + 4 + 512 = 666.

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 95 ways as a sum of consecutive naturals, for example, 2523228 + ... + 2954244.

It is an arithmetic number, because the mean of its divisors is an integer number (9727214224).

Almost surely, 2^{1180441774512} is an apocalyptic number.

1180441774512 is a gapful number since it is divisible by the number (12) 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 1180441774512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334531413760).

1180441774512 is an abundant number, since it is smaller than the sum of its proper divisors (3488621053008).

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

1180441774512 is a wasteful number, since it uses less digits than its factorization.

1180441774512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431081 (or 431072 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 1180441774512 in words is "one trillion, one hundred eighty billion, four hundred forty-one million, seven hundred seventy-four thousand, five hundred twelve".