345561375423000 has 512 divisors, whose sum is σ = 1193963819443200. Its totient is φ = 82505263104000.

The previous prime is 345561375422941. The next prime is 345561375423013. The reversal of 345561375423000 is 324573165543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13347794056 + ... + 13347819944.

It is an arithmetic number, because the mean of its divisors is an integer number (2331960584850).

Almost surely, 2^{345561375423000} is an apocalyptic number.

345561375423000 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 345561375423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596981909721600).

345561375423000 is an abundant number, since it is smaller than the sum of its proper divisors (848402444020200).

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

345561375423000 is a wasteful number, since it uses less digits than its factorization.

345561375423000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32028 (or 32014 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 48.

The spelling of 345561375423000 in words is "three hundred forty-five trillion, five hundred sixty-one billion, three hundred seventy-five million, four hundred twenty-three thousand".