1312336671744 has 264 divisors, whose sum is σ = 4200205041408. Its totient is φ = 362856775680.

The previous prime is 1312336671743. The next prime is 1312336671781. The reversal of 1312336671744 is 4471766332131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 1312336671693 and 1312336671702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312336671743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4525752 + ... + 4806984.

Almost surely, 2^{1312336671744} is an apocalyptic number.

1312336671744 is a gapful number since it is divisible by the number (14) 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 1312336671744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100102520704).

1312336671744 is an abundant number, since it is smaller than the sum of its proper divisors (2887868369664).

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

1312336671744 is a wasteful number, since it uses less digits than its factorization.

1312336671744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281301 (or 281276 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 48.

The spelling of 1312336671744 in words is "one trillion, three hundred twelve billion, three hundred thirty-six million, six hundred seventy-one thousand, seven hundred forty-four".