354505923216 has 315 divisors, whose sum is σ = 1065547738731. Its totient is φ = 114203250432.

The previous prime is 354505923203. The next prime is 354505923257. The reversal of 354505923216 is 612329505453.

The square root of 354505923216 is 595404.

It is a perfect power (a square), and thus also a powerful number.

354505923216 is a `hidden beast` number, since 3 + 5 + 4 + 50 + 592 + 3 + 2 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 128595600 + 354377327616 = 11340^2 + 595296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2379234310 + ... + 2379234458.

Almost surely, 2^354505923216 is an apocalyptic number.

354505923216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

354505923216 is the 595404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354505923216

354505923216 is an abundant number, since it is smaller than the sum of its proper divisors (711041815515).

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

354505923216 is an frugal number, since it uses more digits than its factorization.

354505923216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

It can be divided in two parts, 354505 and 923216, that added together give a palindrome (1277721).

The spelling of 354505923216 in words is "three hundred fifty-four billion, five hundred five million, nine hundred twenty-three thousand, two hundred sixteen".