35073722209344 has 224 divisors, whose sum is σ = 115323312599040. Its totient is φ = 9160404092928.

The previous prime is 35073722209321. The next prime is 35073722209411. The reversal of 35073722209344 is 44390222737053.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7945164 + ... + 11544395.

It is an arithmetic number, because the mean of its divisors is an integer number (514836216960).

Almost surely, 2^{35073722209344} is an apocalyptic number.

It is an amenable number.

35073722209344 is an abundant number, since it is smaller than the sum of its proper divisors (80249590389696).

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

35073722209344 is a wasteful number, since it uses less digits than its factorization.

35073722209344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19489697 (or 19489687 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 51.

The spelling of 35073722209344 in words is "thirty-five trillion, seventy-three billion, seven hundred twenty-two million, two hundred nine thousand, three hundred forty-four".