345345625000 has 64 divisors (see below), whose sum is σ = 809403201360. Its totient is φ = 138138000000.

The previous prime is 345345624997. The next prime is 345345625021. The reversal of 345345625000 is 526543543.

It can be written as a sum of positive squares in 8 ways, for example, as 334215796996 + 11129828004 = 578114^2 + 105498^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348724 + ... + 901276.

Almost surely, 2^345345625000 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 345345625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404701600680).

345345625000 is an abundant number, since it is smaller than the sum of its proper divisors (464057576360).

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

345345625000 is an frugal number, since it uses more digits than its factorization.

345345625000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552594 (or 552560 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 37.

The spelling of 345345625000 in words is "three hundred forty-five billion, three hundred forty-five million, six hundred twenty-five thousand".