345551345343100 has 144 divisors (see below), whose sum is σ = 809812908878848. Its totient is φ = 127227078639360.

The previous prime is 345551345343059. The next prime is 345551345343101. The reversal of 345551345343100 is 1343543155543.

It is a super-2 number, since 2×345551345343100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345551345343101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5270490919 + ... + 5270556481.

Almost surely, 2^{345551345343100} 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 345551345343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404906454439424).

345551345343100 is an abundant number, since it is smaller than the sum of its proper divisors (464261563535748).

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

345551345343100 is a wasteful number, since it uses less digits than its factorization.

345551345343100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77004 (or 76997 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 46.

Adding to 345551345343100 its reverse (1343543155543), we get a palindrome (346894888498643).

The spelling of 345551345343100 in words is "three hundred forty-five trillion, five hundred fifty-one billion, three hundred forty-five million, three hundred forty-three thousand, one hundred".