345532531055010 has 128 divisors (see below), whose sum is σ = 902487998313216. Its totient is φ = 84161745239040.

The previous prime is 345532531054933. The next prime is 345532531055057. The reversal of 345532531055010 is 10550135235543.

It is a super-2 number, since 2×345532531055010² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2100444 + ... + 26371896.

It is an arithmetic number, because the mean of its divisors is an integer number (7050687486822).

Almost surely, 2^{345532531055010} is an apocalyptic number.

345532531055010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345532531055010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451243999156608).

345532531055010 is an abundant number, since it is smaller than the sum of its proper divisors (556955467258206).

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

345532531055010 is a wasteful number, since it uses less digits than its factorization.

345532531055010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24271860.

The product of its (nonzero) digits is 675000, while the sum is 42.

The spelling of 345532531055010 in words is "three hundred forty-five trillion, five hundred thirty-two billion, five hundred thirty-one million, fifty-five thousand, ten".