351368942419968 has 512 divisors, whose sum is σ = 1038114262056960. Its totient is φ = 104825290752000.

The previous prime is 351368942419967. The next prime is 351368942419981. The reversal of 351368942419968 is 869914249863153.

It is a tau number, because it is divible by the number of its divisors (512).

It is a junction number, because it is equal to n+sod(n) for n = 351368942419893 and 351368942419902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351368942419967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17990310363 + ... + 17990329893.

It is an arithmetic number, because the mean of its divisors is an integer number (2027566918080).

Almost surely, 2^{351368942419968} 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 351368942419968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519057131028480).

351368942419968 is an abundant number, since it is smaller than the sum of its proper divisors (686745319636992).

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

351368942419968 is a wasteful number, since it uses less digits than its factorization.

351368942419968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19833 (or 19805 counting only the distinct ones).

The product of its digits is 2418647040, while the sum is 78.

The spelling of 351368942419968 in words is "three hundred fifty-one trillion, three hundred sixty-eight billion, nine hundred forty-two million, four hundred nineteen thousand, nine hundred sixty-eight".