1294846661160 has 384 divisors, whose sum is σ = 4746562329600. Its totient is φ = 303741757440.

The previous prime is 1294846661153. The next prime is 1294846661177. The reversal of 1294846661160 is 611666484921.

It is a junction number, because it is equal to n+sod(n) for n = 1294846661097 and 1294846661106.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 29148246 + ... + 29192634.

It is an arithmetic number, because the mean of its divisors is an integer number (12360839400).

Almost surely, 2^{1294846661160} is an apocalyptic number.

1294846661160 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 1294846661160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373281164800).

1294846661160 is an abundant number, since it is smaller than the sum of its proper divisors (3451715668440).

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

1294846661160 is a wasteful number, since it uses less digits than its factorization.

1294846661160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44713 (or 44706 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 1294846661160 in words is "one trillion, two hundred ninety-four billion, eight hundred forty-six million, six hundred sixty-one thousand, one hundred sixty".