345031331414140 has 192 divisors, whose sum is σ = 878592781946880. Its totient is φ = 111108529889280.

The previous prime is 345031331414053. The next prime is 345031331414149. The reversal of 345031331414140 is 41414133130543.

It is a happy number.

It is a super-2 number, since 2×345031331414140² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 345031331414140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345031331414149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2934455032 + ... + 2934572608.

It is an arithmetic number, because the mean of its divisors is an integer number (4576004072640).

Almost surely, 2^{345031331414140} 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 345031331414140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439296390973440).

345031331414140 is an abundant number, since it is smaller than the sum of its proper divisors (533561450532740).

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

345031331414140 is a wasteful number, since it uses less digits than its factorization.

345031331414140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120140 (or 120138 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

Adding to 345031331414140 its reverse (41414133130543), we get a palindrome (386445464544683).

The spelling of 345031331414140 in words is "three hundred forty-five trillion, thirty-one billion, three hundred thirty-one million, four hundred fourteen thousand, one hundred forty".