345585856512 has 208 divisors, whose sum is σ = 1015428178688. Its totient is φ = 103859159040.

The previous prime is 345585856501. The next prime is 345585856519. The reversal of 345585856512 is 215658585543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (208).

It is a super-2 number, since 2×345585856512² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (345585856519) 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 15 ways as a sum of consecutive naturals, for example, 6843837 + ... + 6894147.

Almost surely, 2^345585856512 is an apocalyptic number.

345585856512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345585856512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507714089344).

345585856512 is an abundant number, since it is smaller than the sum of its proper divisors (669842322176).

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

345585856512 is a wasteful number, since it uses less digits than its factorization.

345585856512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50394 (or 50372 counting only the distinct ones).

The product of its digits is 28800000, while the sum is 57.

The spelling of 345585856512 in words is "three hundred forty-five billion, five hundred eighty-five million, eight hundred fifty-six thousand, five hundred twelve".