345531415543200 has 432 divisors, whose sum is σ = 1244503956398976. Its totient is φ = 90170395852800.

The previous prime is 345531415543177. The next prime is 345531415543207. The reversal of 345531415543200 is 2345514135543.

345531415543200 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 31 + 41 + 554 + 3 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (345531415543207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3033022240 + ... + 3033136160.

It is an arithmetic number, because the mean of its divisors is an integer number (2880796195368).

Almost surely, 2^{345531415543200} is an apocalyptic number.

345531415543200 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 345531415543200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622251978199488).

345531415543200 is an abundant number, since it is smaller than the sum of its proper divisors (898972540855776).

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

345531415543200 is a wasteful number, since it uses less digits than its factorization.

345531415543200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122957 (or 122941 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

Adding to 345531415543200 its reverse (2345514135543), we get a palindrome (347876929678743).

The spelling of 345531415543200 in words is "three hundred forty-five trillion, five hundred thirty-one billion, four hundred fifteen million, five hundred forty-three thousand, two hundred".