345430060053504 has 176 divisors, whose sum is σ = 935772194200896. Its totient is φ = 113262944256000.

The previous prime is 345430060053473. The next prime is 345430060053517. The reversal of 345430060053504 is 405350060034543.

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 15 ways as a sum of consecutive naturals, for example, 143085564 + ... + 145479684.

Almost surely, 2^{345430060053504} 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 345430060053504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467886097100448).

345430060053504 is an abundant number, since it is smaller than the sum of its proper divisors (590342134147392).

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

345430060053504 is a wasteful number, since it uses less digits than its factorization.

345430060053504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394912 (or 2394894 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 42.

The spelling of 345430060053504 in words is "three hundred forty-five trillion, four hundred thirty billion, sixty million, fifty-three thousand, five hundred four".