345559471992900 has 945 divisors, whose sum is σ = 1238879555421655. Its totient is φ = 83624766508800.

The previous prime is 345559471992869. The next prime is 345559471992953. The reversal of 345559471992900 is 9299174955543.

The square root of 345559471992900 is 18589230.

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

345559471992900 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 594 + 7 + 1 + 9 + 9 + 29 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82131770024964 + 263427701967936 = 9062658^2 + 16230456^2 .

It is a super-2 number, since 2×345559471992900² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 607310143816 + ... + 607310144384.

Almost surely, 2^{345559471992900} is an apocalyptic number.

345559471992900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

345559471992900 is the 18589230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345559471992900

345559471992900 is an abundant number, since it is smaller than the sum of its proper divisors (893320083428755).

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

345559471992900 is an frugal number, since it uses more digits than its factorization.

345559471992900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 551124000, while the sum is 72.

The spelling of 345559471992900 in words is "three hundred forty-five trillion, five hundred fifty-nine billion, four hundred seventy-one million, nine hundred ninety-two thousand, nine hundred".