1291714771248 has 480 divisors, whose sum is σ = 4214880230400. Its totient is φ = 378256919040.

The previous prime is 1291714771223. The next prime is 1291714771267. The reversal of 1291714771248 is 8421774171921.

1291714771248 is a `hidden beast` number, since 1 + 2 + 91 + 71 + 477 + 12 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1291714771194 and 1291714771203.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 185614393 + ... + 185621351.

It is an arithmetic number, because the mean of its divisors is an integer number (8781000480).

Almost surely, 2^{1291714771248} is an apocalyptic number.

1291714771248 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 1291714771248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107440115200).

1291714771248 is an abundant number, since it is smaller than the sum of its proper divisors (2923165459152).

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

1291714771248 is a wasteful number, since it uses less digits than its factorization.

1291714771248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7118 (or 7095 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 54.

The spelling of 1291714771248 in words is "one trillion, two hundred ninety-one billion, seven hundred fourteen million, seven hundred seventy-one thousand, two hundred forty-eight".