345332553200000 has 768 divisors, whose sum is σ = 938405026984320. Its totient is φ = 126060134400000.

The previous prime is 345332553199993. The next prime is 345332553200053. The reversal of 345332553200000 is 2355233543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46559596292 + ... + 46559603708.

Almost surely, 2^{345332553200000} 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 345332553200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469202513492160).

345332553200000 is an abundant number, since it is smaller than the sum of its proper divisors (593072473784320).

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

345332553200000 is an equidigital number, since it uses as much as digits as its factorization.

345332553200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7681 (or 7649 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 35.

The spelling of 345332553200000 in words is "three hundred forty-five trillion, three hundred thirty-two billion, five hundred fifty-three million, two hundred thousand".