351145314245432 has 192 divisors, whose sum is σ = 786820488330240. Its totient is φ = 146446726809600.

The previous prime is 351145314245417. The next prime is 351145314245449. The reversal of 351145314245432 is 234542413541153.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 657529082 + ... + 658062902.

It is an arithmetic number, because the mean of its divisors is an integer number (4098023376720).

Almost surely, 2^{351145314245432} 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 351145314245432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393410244165120).

351145314245432 is an abundant number, since it is smaller than the sum of its proper divisors (435675174084808).

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

351145314245432 is a wasteful number, since it uses less digits than its factorization.

351145314245432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534222 (or 534211 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 47.

Adding to 351145314245432 its reverse (234542413541153), we get a palindrome (585687727786585).

The spelling of 351145314245432 in words is "three hundred fifty-one trillion, one hundred forty-five billion, three hundred fourteen million, two hundred forty-five thousand, four hundred thirty-two".