1175029984144 has 135 divisors (see below), whose sum is σ = 2555447176497. Its totient is φ = 523227999744.

The previous prime is 1175029984111. The next prime is 1175029984151. The reversal of 1175029984144 is 4414899205711.

The square root of 1175029984144 is 1083988.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 914815731600 + 260214252544 = 956460^2 + 510112^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1400512077 + ... + 1400512915.

Almost surely, 2^{1175029984144} is an apocalyptic number.

1175029984144 is the 1083988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1175029984144

1175029984144 is an abundant number, since it is smaller than the sum of its proper divisors (1380417192353).

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

1175029984144 is an frugal number, since it uses more digits than its factorization.

1175029984144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 55.

The spelling of 1175029984144 in words is "one trillion, one hundred seventy-five billion, twenty-nine million, nine hundred eighty-four thousand, one hundred forty-four".