352261000000 has 784 divisors, whose sum is σ = 1111235776000. Its totient is φ = 110073600000.

The previous prime is 352260999941. The next prime is 352261000033. The reversal of 352261000000 is 162253.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (784).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 352261000000 = 2100³ + 7000³ = 5425³ + 5775³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4458999961 + ... + 4459000039.

Almost surely, 2^352261000000 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 352261000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555617888000).

352261000000 is an abundant number, since it is smaller than the sum of its proper divisors (758974776000).

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

352261000000 is an frugal number, since it uses more digits than its factorization.

352261000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 352261000000 its reverse (162253), we get a palindrome (352261162253).

The spelling of 352261000000 in words is "three hundred fifty-two billion, two hundred sixty-one million", and thus it is an aban number.