345250524000000 has 504 divisors, whose sum is σ = 1159114408458160. Its totient is φ = 91221811200000.

The previous prime is 345250523999993. The next prime is 345250524000001. The reversal of 345250524000000 is 425052543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345250524000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1307868024 + ... + 1308131976.

Almost surely, 2^{345250524000000} is an apocalyptic number.

345250524000000 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 345250524000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579557204229080).

345250524000000 is an abundant number, since it is smaller than the sum of its proper divisors (813863884458160).

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

345250524000000 is an frugal number, since it uses more digits than its factorization.

345250524000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264111 (or 264072 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 345250524000000 its reverse (425052543), we get a palindrome (345250949052543).

The spelling of 345250524000000 in words is "three hundred forty-five trillion, two hundred fifty billion, five hundred twenty-four million", and thus it is an aban number.