1297858663696 has 405 divisors, whose sum is σ = 3219705704943. Its totient is φ = 505273950720.

The previous prime is 1297858663691. The next prime is 1297858663733. The reversal of 1297858663696 is 6963668587921.

The square root of 1297858663696 is 1139236.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 389420929296 + 908437734400 = 624036^2 + 953120^2 .

It is a super-2 number, since 2×1297858663696² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1297858663691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 21276371506 + ... + 21276371566.

Almost surely, 2^{1297858663696} is an apocalyptic number.

1297858663696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1297858663696 is the 1139236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1297858663696

1297858663696 is an abundant number, since it is smaller than the sum of its proper divisors (1921847041247).

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

1297858663696 is an equidigital number, since it uses as much as digits as its factorization.

1297858663696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 122 counting only the distinct ones).

The product of its digits is 1410877440, while the sum is 76.

The spelling of 1297858663696 in words is "one trillion, two hundred ninety-seven billion, eight hundred fifty-eight million, six hundred sixty-three thousand, six hundred ninety-six".