351350224000 has 128 divisors (see below), whose sum is σ = 897155316720. Its totient is φ = 136741478400.

The previous prime is 351350223953. The next prime is 351350224003. The reversal of 351350224000 is 422053153.

It can be written as a sum of positive squares in 8 ways, for example, as 135913144896 + 215437079104 = 368664^2 + 464152^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (351350224003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 295252 + ... + 888748.

Almost surely, 2^351350224000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351350224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448577658360).

351350224000 is an abundant number, since it is smaller than the sum of its proper divisors (545805092720).

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

351350224000 is an equidigital number, since it uses as much as digits as its factorization.

351350224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593563 (or 593541 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 351350224000 its reverse (422053153), we get a palindrome (351772277153).

The spelling of 351350224000 in words is "three hundred fifty-one billion, three hundred fifty million, two hundred twenty-four thousand".