1347074400749 has 96 divisors (see below), whose sum is σ = 1845854438400. Its totient is φ = 968835168000.

The previous prime is 1347074400709. The next prime is 1347074400773. The reversal of 1347074400749 is 9470044707431.

It is a happy number.

It is not a de Polignac number, because 1347074400749 - 2²⁰ = 1347073352173 is a prime.

It is a super-3 number, since 3×1347074400749³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1347074400697 and 1347074400706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1347074400709) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 385868894 + ... + 385872384.

It is an arithmetic number, because the mean of its divisors is an integer number (19227650400).

Almost surely, 2^{1347074400749} is an apocalyptic number.

1347074400749 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1347074400749 is a deficient number, since it is larger than the sum of its proper divisors (498780037651).

1347074400749 is a wasteful number, since it uses less digits than its factorization.

1347074400749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4495 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 50.

The spelling of 1347074400749 in words is "one trillion, three hundred forty-seven billion, seventy-four million, four hundred thousand, seven hundred forty-nine".