345552325341540 has 192 divisors, whose sum is σ = 1034190094049280. Its totient is φ = 85953268800000.

The previous prime is 345552325341533. The next prime is 345552325341541. The reversal of 345552325341540 is 45143523255543.

It is not an unprimeable number, because it can be changed into a prime (345552325341541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57943570 + ... + 63628310.

It is an arithmetic number, because the mean of its divisors is an integer number (5386406739840).

Almost surely, 2^{345552325341540} is an apocalyptic number.

345552325341540 is a gapful number since it is divisible by the number (30) 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 345552325341540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517095047024640).

345552325341540 is an abundant number, since it is smaller than the sum of its proper divisors (688637768707740).

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

345552325341540 is a wasteful number, since it uses less digits than its factorization.

345552325341540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5685594 (or 5685592 counting only the distinct ones).

The product of its (nonzero) digits is 21600000, while the sum is 51.

The spelling of 345552325341540 in words is "three hundred forty-five trillion, five hundred fifty-two billion, three hundred twenty-five million, three hundred forty-one thousand, five hundred forty".