354205084793568 has 192 divisors, whose sum is σ = 985269537907200. Its totient is φ = 111106337126400.

The previous prime is 354205084793557. The next prime is 354205084793591. The reversal of 354205084793568 is 865397480502453.

It is a Cunningham number, because it is equal to 18820337²-1.

It is a super-3 number, since 3×354205084793568³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 5721351798 + ... + 5721413706.

It is an arithmetic number, because the mean of its divisors is an integer number (5131612176600).

Almost surely, 2^{354205084793568} is an apocalyptic number.

354205084793568 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354205084793568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492634768953600).

354205084793568 is an abundant number, since it is smaller than the sum of its proper divisors (631064453113632).

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

354205084793568 is a wasteful number, since it uses less digits than its factorization.

354205084793568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82865 (or 82857 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 69.

The spelling of 354205084793568 in words is "three hundred fifty-four trillion, two hundred five billion, eighty-four million, seven hundred ninety-three thousand, five hundred sixty-eight".