351565984900 has 81 divisors (see below), whose sum is σ = 826278015213. Its totient is φ = 129780518400.

The previous prime is 351565984897. The next prime is 351565984907. The reversal of 351565984900 is 9489565153.

The square root of 351565984900 is 592930.

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

It can be written as a sum of positive squares in 13 ways, for example, as 349061182596 + 2504802304 = 590814^2 + 50048^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (351565984907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 77078620 + ... + 77083180.

Almost surely, 2^351565984900 is an apocalyptic number.

351565984900 is the 592930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351565984900

351565984900 is an abundant number, since it is smaller than the sum of its proper divisors (474712030313).

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

351565984900 is an equidigital number, since it uses as much as digits as its factorization.

351565984900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9162 (or 4581 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 55.

The spelling of 351565984900 in words is "three hundred fifty-one billion, five hundred sixty-five million, nine hundred eighty-four thousand, nine hundred".