1314966655080 has 768 divisors, whose sum is σ = 4904816716800. Its totient is φ = 302868357120.

The previous prime is 1314966655073. The next prime is 1314966655091. The reversal of 1314966655080 is 805566694131.

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 191 ways as a sum of consecutive naturals, for example, 4747171902 + ... + 4747172178.

It is an arithmetic number, because the mean of its divisors is an integer number (6386480100).

Almost surely, 2^{1314966655080} is an apocalyptic number.

1314966655080 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 1314966655080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452408358400).

1314966655080 is an abundant number, since it is smaller than the sum of its proper divisors (3589850061720).

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

1314966655080 is a wasteful number, since it uses less digits than its factorization.

1314966655080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 1314966655080 in words is "one trillion, three hundred fourteen billion, nine hundred sixty-six million, six hundred fifty-five thousand, eighty".