1179009168768 has 96 divisors (see below), whose sum is σ = 3394024826400. Its totient is φ = 392852106240.

The previous prime is 1179009168731. The next prime is 1179009168817. The reversal of 1179009168768 is 8678619009711.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2824153 + ... + 3214631.

It is an arithmetic number, because the mean of its divisors is an integer number (35354425275).

Almost surely, 2^{1179009168768} is an apocalyptic number.

1179009168768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1179009168768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697012413200).

1179009168768 is an abundant number, since it is smaller than the sum of its proper divisors (2215015657632).

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

1179009168768 is a wasteful number, since it uses less digits than its factorization.

1179009168768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393120 (or 393105 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 63.

The spelling of 1179009168768 in words is "one trillion, one hundred seventy-nine billion, nine million, one hundred sixty-eight thousand, seven hundred sixty-eight".