1167508945125 has 48 divisors (see below), whose sum is σ = 2172520796160. Its totient is φ = 602585244000.

The previous prime is 1167508945103. The next prime is 1167508945129. The reversal of 1167508945125 is 5215498057611.

1167508945125 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 508 + 9 + 4 + 5 + 125 = 666.

It is not a de Polignac number, because 1167508945125 - 2¹³ = 1167508936933 is a prime.

It is a super-2 number, since 2×1167508945125² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1167508945129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16703605 + ... + 16773354.

It is an arithmetic number, because the mean of its divisors is an integer number (45260849920).

Almost surely, 2^{1167508945125} is an apocalyptic number.

1167508945125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1167508945125 is a deficient number, since it is larger than the sum of its proper divisors (1005011851035).

1167508945125 is a wasteful number, since it uses less digits than its factorization.

1167508945125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33477011 (or 33476998 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 1167508945125 in words is "one trillion, one hundred sixty-seven billion, five hundred eight million, nine hundred forty-five thousand, one hundred twenty-five".