1167504482304 has 560 divisors, whose sum is σ = 3666414742848. Its totient is φ = 369508220928.

The previous prime is 1167504482293. The next prime is 1167504482311. The reversal of 1167504482304 is 4032844057611.

1167504482304 is a `hidden beast` number, since 1 + 1 + 67 + 504 + 4 + 82 + 3 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1167504482304.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3464404824 + ... + 3464405160.

Almost surely, 2^{1167504482304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1167504482304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833207371424).

1167504482304 is an abundant number, since it is smaller than the sum of its proper divisors (2498910260544).

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

1167504482304 is an equidigital number, since it uses as much as digits as its factorization.

1167504482304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1167504482304 in words is "one trillion, one hundred sixty-seven billion, five hundred four million, four hundred eighty-two thousand, three hundred four".