345489918048 has 144 divisors (see below), whose sum is σ = 1072014181056. Its totient is φ = 104673381120.

The previous prime is 345489918041. The next prime is 345489918097. The reversal of 345489918048 is 840819984543.

345489918048 is a `hidden beast` number, since 3 + 4 + 548 + 9 + 9 + 1 + 80 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×345489918048² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345489918041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26563515 + ... + 26576517.

It is an arithmetic number, because the mean of its divisors is an integer number (7444542924).

Almost surely, 2^345489918048 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 345489918048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536007090528).

345489918048 is an abundant number, since it is smaller than the sum of its proper divisors (726524263008).

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

345489918048 is a wasteful number, since it uses less digits than its factorization.

345489918048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21417 (or 21406 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 345489918048 in words is "three hundred forty-five billion, four hundred eighty-nine million, nine hundred eighteen thousand, forty-eight".