1286468739072 has 560 divisors, whose sum is σ = 4213160800992. Its totient is φ = 387939041280.

The previous prime is 1286468739043. The next prime is 1286468739089. The reversal of 1286468739072 is 2709378646821.

1286468739072 is a `hidden beast` number, since 1 + 2 + 86 + 468 + 7 + 3 + 90 + 7 + 2 = 666.

It is a super-3 number, since 3×1286468739072³ (a number of 37 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2459787003 + ... + 2459787525.

Almost surely, 2^{1286468739072} is an apocalyptic number.

1286468739072 is a gapful number since it is divisible by the number (12) 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 1286468739072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106580400496).

1286468739072 is an abundant number, since it is smaller than the sum of its proper divisors (2926692061920).

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

1286468739072 is an equidigital number, since it uses as much as digits as its factorization.

1286468739072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 1286468739072 in words is "one trillion, two hundred eighty-six billion, four hundred sixty-eight million, seven hundred thirty-nine thousand, seventy-two".