351106745352 has 128 divisors (see below), whose sum is σ = 983832220800. Its totient is φ = 103479552000.

The previous prime is 351106745351. The next prime is 351106745377. The reversal of 351106745352 is 253547601153.

It is not an unprimeable number, because it can be changed into a prime (351106745351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32238724 + ... + 32249612.

It is an arithmetic number, because the mean of its divisors is an integer number (7686189225).

Almost surely, 2^351106745352 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 351106745352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491916110400).

351106745352 is an abundant number, since it is smaller than the sum of its proper divisors (632725475448).

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

351106745352 is a wasteful number, since it uses less digits than its factorization.

351106745352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14247 (or 14243 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The spelling of 351106745352 in words is "three hundred fifty-one billion, one hundred six million, seven hundred forty-five thousand, three hundred fifty-two".