345446458128 has 200 divisors, whose sum is σ = 1040297088600. Its totient is φ = 110533441536.

The previous prime is 345446458117. The next prime is 345446458163. The reversal of 345446458128 is 821854644543.

345446458128 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 464 + 58 + 128 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 199498009104 + 145948449024 = 446652^2 + 382032^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6475468 + ... + 6528596.

It is an arithmetic number, because the mean of its divisors is an integer number (5201485443).

Almost surely, 2^345446458128 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 345446458128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520148544300).

345446458128 is an abundant number, since it is smaller than the sum of its proper divisors (694850630472).

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

345446458128 is a wasteful number, since it uses less digits than its factorization.

345446458128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53351 (or 53336 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The spelling of 345446458128 in words is "three hundred forty-five billion, four hundred forty-six million, four hundred fifty-eight thousand, one hundred twenty-eight".