345163571456 has 72 divisors (see below), whose sum is σ = 752590367424. Its totient is φ = 156688578560.

The previous prime is 345163571453. The next prime is 345163571521. The reversal of 345163571456 is 654175361543.

It is a super-2 number, since 2×345163571456² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (345163571453) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2097485 + ... + 2256051.

It is an arithmetic number, because the mean of its divisors is an integer number (10452643992).

Almost surely, 2^345163571456 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 345163571456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376295183712).

345163571456 is an abundant number, since it is smaller than the sum of its proper divisors (407426795968).

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

345163571456 is a wasteful number, since it uses less digits than its factorization.

345163571456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159367 (or 159353 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 50.

It can be divided in two parts, 345163 and 571456, that added together give a palindrome (916619).

The spelling of 345163571456 in words is "three hundred forty-five billion, one hundred sixty-three million, five hundred seventy-one thousand, four hundred fifty-six".