1293666971688 has 1536 divisors, whose sum is σ = 4917072384000. Its totient is φ = 307436912640.

The previous prime is 1293666971687. The next prime is 1293666971689. The reversal of 1293666971688 is 8861796663921.

It is an interprime number because it is at equal distance from previous prime (1293666971687) and next prime (1293666971689).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1293666971687) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13336772856 + ... + 13336772952.

It is an arithmetic number, because the mean of its divisors is an integer number (3201219000).

Almost surely, 2^{1293666971688} is an apocalyptic number.

1293666971688 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 1293666971688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458536192000).

1293666971688 is an abundant number, since it is smaller than the sum of its proper divisors (3623405412312).

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

1293666971688 is a wasteful number, since it uses less digits than its factorization.

1293666971688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 249 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 72.

The spelling of 1293666971688 in words is "one trillion, two hundred ninety-three billion, six hundred sixty-six million, nine hundred seventy-one thousand, six hundred eighty-eight".