354305165506336 has 192 divisors, whose sum is σ = 765373451310720. Its totient is φ = 160115180544000.

The previous prime is 354305165506309. The next prime is 354305165506373. The reversal of 354305165506336 is 633605561503453.

It is a super-2 number, since 2×354305165506336² (a number of 30 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 106366004191 + ... + 106366007521.

It is an arithmetic number, because the mean of its divisors is an integer number (3986320058910).

Almost surely, 2^{354305165506336} 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 354305165506336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382686725655360).

354305165506336 is an abundant number, since it is smaller than the sum of its proper divisors (411068285804384).

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

354305165506336 is a wasteful number, since it uses less digits than its factorization.

354305165506336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6019 (or 6011 counting only the distinct ones).

The product of its (nonzero) digits is 43740000, while the sum is 55.

The spelling of 354305165506336 in words is "three hundred fifty-four trillion, three hundred five billion, one hundred sixty-five million, five hundred six thousand, three hundred thirty-six".