1173148678656 has 120 divisors (see below), whose sum is σ = 3386456242884. Its totient is φ = 390972211200.

The previous prime is 1173148678519. The next prime is 1173148678679. The reversal of 1173148678656 is 6568768413711.

1173148678656 is a `hidden beast` number, since 1 + 1 + 7 + 31 + 486 + 78 + 6 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1125805881600 + 47342797056 = 1061040^2 + 217584^2 .

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 junction number, because it is equal to n+sod(n) for n = 1173148678593 and 1173148678602.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 26247880 + ... + 26292536.

Almost surely, 2^{1173148678656} is an apocalyptic number.

1173148678656 is a gapful number since it is divisible by the number (16) 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 1173148678656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693228121442).

1173148678656 is an abundant number, since it is smaller than the sum of its proper divisors (2213307564228).

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

1173148678656 is an equidigital number, since it uses as much as digits as its factorization.

1173148678656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50382 (or 50363 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 1173148678656 in words is "one trillion, one hundred seventy-three billion, one hundred forty-eight million, six hundred seventy-eight thousand, six hundred fifty-six".