345312545440 has 96 divisors (see below), whose sum is σ = 819436882320. Its totient is φ = 137510191104.

The previous prime is 345312545429. The next prime is 345312545477. The reversal of 345312545440 is 44545213543.

It can be written as a sum of positive squares in 8 ways, for example, as 23020172176 + 322292373264 = 151724^2 + 567708^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 345312545393 and 345312545402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90941622 + ... + 90945418.

Almost surely, 2^345312545440 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 345312545440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409718441160).

345312545440 is an abundant number, since it is smaller than the sum of its proper divisors (474124336880).

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

345312545440 is a wasteful number, since it uses less digits than its factorization.

345312545440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6194 (or 6186 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

Adding to 345312545440 its reverse (44545213543), we get a palindrome (389857758983).

The spelling of 345312545440 in words is "three hundred forty-five billion, three hundred twelve million, five hundred forty-five thousand, four hundred forty".