1178171310096 has 225 divisors, whose sum is σ = 3749516325709. Its totient is φ = 356891356800.

The previous prime is 1178171310077. The next prime is 1178171310097. The reversal of 1178171310096 is 6900131718711.

It is a happy number.

The square root of 1178171310096 is 1085436.

It is a perfect power (a square), and thus also a powerful number.

1178171310096 is a `hidden beast` number, since 11 + 78 + 171 + 310 + 0 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 348614670096 + 829556640000 = 590436^2 + 910800^2 .

It is not an unprimeable number, because it can be changed into a prime (1178171310097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 429831286 + ... + 429834026.

Almost surely, 2^{1178171310096} is an apocalyptic number.

1178171310096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1178171310096 is the 1085436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1178171310096

1178171310096 is an abundant number, since it is smaller than the sum of its proper divisors (2571345015613).

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

1178171310096 is an frugal number, since it uses more digits than its factorization.

1178171310096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 45.

The spelling of 1178171310096 in words is "one trillion, one hundred seventy-eight billion, one hundred seventy-one million, three hundred ten thousand, ninety-six".