345104551936 has 117 divisors (see below), whose sum is σ = 705729999009. Its totient is φ = 168736161792.

The previous prime is 345104551921. The next prime is 345104551943. The reversal of 345104551936 is 639155401543.

The square root of 345104551936 is 587456.

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

It can be written as a sum of positive squares in only one way, i.e., 202716057600 + 142388494336 = 450240^2 + 377344^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2519011260 + ... + 2519011396.

Almost surely, 2^345104551936 is an apocalyptic number.

345104551936 is the 587456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345104551936

345104551936 is an abundant number, since it is smaller than the sum of its proper divisors (360625447073).

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

345104551936 is an frugal number, since it uses more digits than its factorization.

345104551936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 46.

The spelling of 345104551936 in words is "three hundred forty-five billion, one hundred four million, five hundred fifty-one thousand, nine hundred thirty-six".