345334515232 has 288 divisors, whose sum is σ = 837162418176. Its totient is φ = 139628966400.

The previous prime is 345334515223. The next prime is 345334515271. The reversal of 345334515232 is 232515433543.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 348470257 + ... + 348471247.

It is an arithmetic number, because the mean of its divisors is an integer number (2906813952).

Almost surely, 2^345334515232 is an apocalyptic number.

345334515232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345334515232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418581209088).

345334515232 is an abundant number, since it is smaller than the sum of its proper divisors (491827902944).

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

345334515232 is a wasteful number, since it uses less digits than its factorization.

345334515232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1205 counting only the distinct ones).

The product of its digits is 648000, while the sum is 40.

Adding to 345334515232 its reverse (232515433543), we get a palindrome (577849948775).

The spelling of 345334515232 in words is "three hundred forty-five billion, three hundred thirty-four million, five hundred fifteen thousand, two hundred thirty-two".