352431121649088 has 168 divisors, whose sum is σ = 963588202400640. Its totient is φ = 113679899020800.

The previous prime is 352431121649059. The next prime is 352431121649093. The reversal of 352431121649088 is 880946121134253.

It is a happy number.

It is a super-2 number, since 2×352431121649088² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3216173883 + ... + 3216283461.

Almost surely, 2^{352431121649088} 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 352431121649088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481794101200320).

352431121649088 is an abundant number, since it is smaller than the sum of its proper divisors (611157080751552).

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

352431121649088 is a wasteful number, since it uses less digits than its factorization.

352431121649088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127087 (or 127046 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 352431121649088 in words is "three hundred fifty-two trillion, four hundred thirty-one billion, one hundred twenty-one million, six hundred forty-nine thousand, eighty-eight".