353504900579076 has 81 divisors (see below), whose sum is σ = 895774074437151. Its totient is φ = 117546585986304.

The previous prime is 353504900578993. The next prime is 353504900579167. The reversal of 353504900579076 is 670975009405353.

The square root of 353504900579076 is 18801726.

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

353504900579076 is a `hidden beast` number, since 3 + 5 + 3 + 5 + 0 + 490 + 0 + 5 + 79 + 0 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26946750932676 + 326558149646400 = 5191026^2 + 18070920^2 .

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 26 ways as a sum of consecutive naturals, for example, 48846880530 + ... + 48846887766.

Almost surely, 2^{353504900579076} is an apocalyptic number.

353504900579076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

353504900579076 is the 18801726-th square number.

It is an amenable number.

353504900579076 is an abundant number, since it is smaller than the sum of its proper divisors (542269173858075).

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

353504900579076 is an frugal number, since it uses more digits than its factorization.

353504900579076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15350 (or 7675 counting only the distinct ones).

The product of its (nonzero) digits is 107163000, while the sum is 63.

The spelling of 353504900579076 in words is "three hundred fifty-three trillion, five hundred four billion, nine hundred million, five hundred seventy-nine thousand, seventy-six".