1174093123968 has 192 divisors, whose sum is σ = 3502131750000. Its totient is φ = 377106444288.

The previous prime is 1174093123949. The next prime is 1174093123969. The reversal of 1174093123968 is 8693213904711.

1174093123968 is a `hidden beast` number, since 117 + 40 + 93 + 12 + 396 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1174093123969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16635378 + ... + 16705806.

Almost surely, 2^{1174093123968} is an apocalyptic number.

1174093123968 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 1174093123968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751065875000).

1174093123968 is an abundant number, since it is smaller than the sum of its proper divisors (2328038626032).

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

1174093123968 is a wasteful number, since it uses less digits than its factorization.

1174093123968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70977 (or 70962 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1174093123968 in words is "one trillion, one hundred seventy-four billion, ninety-three million, one hundred twenty-three thousand, nine hundred sixty-eight".