1171031024768 has 128 divisors (see below), whose sum is σ = 2568855263040. Its totient is φ = 527310950400.

The previous prime is 1171031024767. The next prime is 1171031024771. The reversal of 1171031024768 is 8674201301711.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1171031024767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113061446 + ... + 113071802.

Almost surely, 2^{1171031024768} 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 1171031024768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284427631520).

1171031024768 is an abundant number, since it is smaller than the sum of its proper divisors (1397824238272).

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

1171031024768 is a wasteful number, since it uses less digits than its factorization.

1171031024768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11126 (or 11114 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 41.

The spelling of 1171031024768 in words is "one trillion, one hundred seventy-one billion, thirty-one million, twenty-four thousand, seven hundred sixty-eight".