345210450024 has 192 divisors, whose sum is σ = 965865274560. Its totient is φ = 101966146560.

The previous prime is 345210449999. The next prime is 345210450061. The reversal of 345210450024 is 420054012543.

It is a junction number, because it is equal to n+sod(n) for n = 345210449973 and 345210450000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161538684 + ... + 161540820.

It is an arithmetic number, because the mean of its divisors is an integer number (5030548305).

Almost surely, 2^345210450024 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 345210450024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482932637280).

345210450024 is an abundant number, since it is smaller than the sum of its proper divisors (620654824536).

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

345210450024 is a wasteful number, since it uses less digits than its factorization.

345210450024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 345210450024 its reverse (420054012543), we get a palindrome (765264462567).

The spelling of 345210450024 in words is "three hundred forty-five billion, two hundred ten million, four hundred fifty thousand, twenty-four".