345458115200 has 576 divisors, whose sum is σ = 1023930223200. Its totient is φ = 114057216000.

The previous prime is 345458115181. The next prime is 345458115221. The reversal of 345458115200 is 2511854543.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 295010615 + ... + 295011785.

Almost surely, 2^345458115200 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 345458115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511965111600).

345458115200 is an abundant number, since it is smaller than the sum of its proper divisors (678472108000).

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

345458115200 is a wasteful number, since it uses less digits than its factorization.

345458115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 38.

Adding to 345458115200 its reverse (2511854543), we get a palindrome (347969969743).

The spelling of 345458115200 in words is "three hundred forty-five billion, four hundred fifty-eight million, one hundred fifteen thousand, two hundred".