1319129466768 has 240 divisors, whose sum is σ = 4080050020800. Its totient is φ = 396198190080.

The previous prime is 1319129466763. The next prime is 1319129466877. The reversal of 1319129466768 is 8676649219131.

1319129466768 is a `hidden beast` number, since 1 + 3 + 1 + 91 + 29 + 466 + 7 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (1319129466763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5191978 + ... + 5440118.

It is an arithmetic number, because the mean of its divisors is an integer number (17000208420).

Almost surely, 2^{1319129466768} is an apocalyptic number.

1319129466768 is a gapful number since it is divisible by the number (18) 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 1319129466768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040025010400).

1319129466768 is an abundant number, since it is smaller than the sum of its proper divisors (2760920554032).

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

1319129466768 is a wasteful number, since it uses less digits than its factorization.

1319129466768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248270 (or 248261 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 1319129466768 in words is "one trillion, three hundred nineteen billion, one hundred twenty-nine million, four hundred sixty-six thousand, seven hundred sixty-eight".