1175047328016 has 105 divisors (see below), whose sum is σ = 3413759923381. Its totient is φ = 391643418816.

The previous prime is 1175047327939. The next prime is 1175047328083. The reversal of 1175047328016 is 6108237405711.

The square root of 1175047328016 is 1083996.

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

1175047328016 is a `hidden beast` number, since 1 + 175 + 0 + 473 + 2 + 8 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 393053763600 + 781993564416 = 626940^2 + 884304^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 117066550 + ... + 117076586.

Almost surely, 2^{1175047328016} is an apocalyptic number.

1175047328016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1175047328016 is the 1083996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1175047328016

1175047328016 is an abundant number, since it is smaller than the sum of its proper divisors (2238712595365).

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

1175047328016 is an frugal number, since it uses more digits than its factorization.

1175047328016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20100 (or 10042 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 1175047328016 in words is "one trillion, one hundred seventy-five billion, forty-seven million, three hundred twenty-eight thousand, sixteen".