345989026944 has 384 divisors, whose sum is σ = 1120803091200. Its totient is φ = 101549260800.

The previous prime is 345989026937. The next prime is 345989027009. The reversal of 345989026944 is 449620989543.

345989026944 is a `hidden beast` number, since 3 + 459 + 8 + 90 + 2 + 6 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53054404 + ... + 53060924.

It is an arithmetic number, because the mean of its divisors is an integer number (2918758050).

Almost surely, 2^345989026944 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 345989026944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560401545600).

345989026944 is an abundant number, since it is smaller than the sum of its proper divisors (774814064256).

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

345989026944 is a wasteful number, since it uses less digits than its factorization.

345989026944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6684 (or 6669 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 345989026944 in words is "three hundred forty-five billion, nine hundred eighty-nine million, twenty-six thousand, nine hundred forty-four".