1167404124705 has 128 divisors (see below), whose sum is σ = 2518053350400. Its totient is φ = 447653412864.

The previous prime is 1167404124697. The next prime is 1167404124743. The reversal of 1167404124705 is 5074214047611.

It is not a de Polignac number, because 1167404124705 - 2³ = 1167404124697 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 194440 + ... + 1540329.

It is an arithmetic number, because the mean of its divisors is an integer number (19672291800).

Almost surely, 2^{1167404124705} is an apocalyptic number.

1167404124705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1167404124705 is an abundant number, since it is smaller than the sum of its proper divisors (1350649225695).

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

1167404124705 is a wasteful number, since it uses less digits than its factorization.

1167404124705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734843.

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 1167404124705 in words is "one trillion, one hundred sixty-seven billion, four hundred four million, one hundred twenty-four thousand, seven hundred five".