7743731408117 has 8 divisors (see below), whose sum is σ = 7760642100120. Its totient is φ = 7726828561920.

The previous prime is 7743731408099. The next prime is 7743731408137. The reversal of 7743731408117 is 7118041373477.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 125198499556 + 7618532908561 = 353834^2 + 2760169^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7743731408117 is a prime.

It is a super-2 number, since 2×7743731408117² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7743731408137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16859 + ... + 3935447.

It is an arithmetic number, because the mean of its divisors is an integer number (970080262515).

Almost surely, 2^{7743731408117} is an apocalyptic number.

It is an amenable number.

7743731408117 is a deficient number, since it is larger than the sum of its proper divisors (16910692003).

7743731408117 is a wasteful number, since it uses less digits than its factorization.

7743731408117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3922903.

The product of its (nonzero) digits is 2765952, while the sum is 53.

The spelling of 7743731408117 in words is "seven trillion, seven hundred forty-three billion, seven hundred thirty-one million, four hundred eight thousand, one hundred seventeen".