354233654641216 has 343 divisors, whose sum is σ = 865647191617699. Its totient is φ = 143824190606208.

The previous prime is 354233654641199. The next prime is 354233654641241. The reversal of 354233654641216 is 612146456332453.

The square root of 354233654641216 is 18821096.

The cubic root of 354233654641216 is 70756.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (343).

It is a super-3 number, since 3×354233654641216³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian 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 48 ways as a sum of consecutive naturals, for example, 18643876560055 + ... + 18643876560073.

Almost surely, 2^{354233654641216} is an apocalyptic number.

354233654641216 is the 18821096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354233654641216

354233654641216 is an abundant number, since it is smaller than the sum of its proper divisors (511413536976483).

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

354233654641216 is an frugal number, since it uses more digits than its factorization.

354233654641216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 28 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 55.

The spelling of 354233654641216 in words is "three hundred fifty-four trillion, two hundred thirty-three billion, six hundred fifty-four million, six hundred forty-one thousand, two hundred sixteen".