7135488416352 has 48 divisors (see below), whose sum is σ = 18741465756720. Its totient is φ = 2377123610112.

The previous prime is 7135488416341. The next prime is 7135488416383. The reversal of 7135488416352 is 2536148845317.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 7135488416292 and 7135488416301.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 21278527 + ... + 21611262.

It is an arithmetic number, because the mean of its divisors is an integer number (390447203265).

Almost surely, 2^{7135488416352} is an apocalyptic number.

It is an amenable number.

7135488416352 is an abundant number, since it is smaller than the sum of its proper divisors (11605977340368).

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

7135488416352 is a wasteful number, since it uses less digits than its factorization.

7135488416352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42891535 (or 42891527 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 57.

The spelling of 7135488416352 in words is "seven trillion, one hundred thirty-five billion, four hundred eighty-eight million, four hundred sixteen thousand, three hundred fifty-two".