345852000000 has 756 divisors, whose sum is σ = 1344152325880. Its totient is φ = 85017600000.

The previous prime is 345851999989. The next prime is 345852000031. The reversal of 345852000000 is 258543.

345852000000 is a `hidden beast` number, since 3 + 458 + 5 + 200 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×345852000000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 467999631 + ... + 468000369.

Almost surely, 2^345852000000 is an apocalyptic number.

345852000000 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 345852000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672076162940).

345852000000 is an abundant number, since it is smaller than the sum of its proper divisors (998300325880).

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

345852000000 is an frugal number, since it uses more digits than its factorization.

345852000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 345852000000 its reverse (258543), we get a palindrome (345852258543).

The spelling of 345852000000 in words is "three hundred forty-five billion, eight hundred fifty-two million", and thus it is an aban number.