353049719680 has 192 divisors, whose sum is σ = 982456231680. Its totient is φ = 120965591040.

The previous prime is 353049719669. The next prime is 353049719717. The reversal of 353049719680 is 86917940353.

It is a super-2 number, since 2×353049719680² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66198294 + ... + 66203626.

It is an arithmetic number, because the mean of its divisors is an integer number (5116959540).

Almost surely, 2^353049719680 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 353049719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491228115840).

353049719680 is an abundant number, since it is smaller than the sum of its proper divisors (629406512000).

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

353049719680 is a wasteful number, since it uses less digits than its factorization.

353049719680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7477 (or 7458 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 55.

The spelling of 353049719680 in words is "three hundred fifty-three billion, forty-nine million, seven hundred nineteen thousand, six hundred eighty".