1178461814880 has 288 divisors, whose sum is σ = 4346831381760. Its totient is φ = 267578035200.

The previous prime is 1178461814863. The next prime is 1178461814897. The reversal of 1178461814880 is 884181648711.

It is an interprime number because it is at equal distance from previous prime (1178461814863) and next prime (1178461814897).

It is a self number, because there is not a number n which added to its sum of digits gives 1178461814880.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3385611 + ... + 3717429.

It is an arithmetic number, because the mean of its divisors is an integer number (15093164520).

Almost surely, 2^{1178461814880} is an apocalyptic number.

1178461814880 is a gapful number since it is divisible by the number (10) 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 1178461814880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173415690880).

1178461814880 is an abundant number, since it is smaller than the sum of its proper divisors (3168369566880).

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

1178461814880 is a wasteful number, since it uses less digits than its factorization.

1178461814880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332002 (or 331987 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 57.

The spelling of 1178461814880 in words is "one trillion, one hundred seventy-eight billion, four hundred sixty-one million, eight hundred fourteen thousand, eight hundred eighty".