353680637140096 has 128 divisors (see below), whose sum is σ = 815802319267200. Its totient is φ = 149602575040512.

The previous prime is 353680637139943. The next prime is 353680637140121. The reversal of 353680637140096 is 690041736086353.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18932520 + ... + 32646616.

It is an arithmetic number, because the mean of its divisors is an integer number (6373455619275).

Almost surely, 2^{353680637140096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353680637140096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407901159633600).

353680637140096 is an abundant number, since it is smaller than the sum of its proper divisors (462121682127104).

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

353680637140096 is a wasteful number, since it uses less digits than its factorization.

353680637140096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13714494 (or 13714482 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 61.

The spelling of 353680637140096 in words is "three hundred fifty-three trillion, six hundred eighty billion, six hundred thirty-seven million, one hundred forty thousand, ninety-six".