351823319866368 has 3520 divisors, whose sum is σ = 1402024139366400. Its totient is φ = 85445962629120.

The previous prime is 351823319866367. The next prime is 351823319866411. The reversal of 351823319866368 is 863668913328153.

351823319866368 is a `hidden beast` number, since 3 + 5 + 18 + 2 + 3 + 3 + 198 + 66 + 368 = 666.

It is a super-2 number, since 2×351823319866368² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 351823319866296 and 351823319866305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351823319866367) 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 319 ways as a sum of consecutive naturals, for example, 424394836578 + ... + 424394837406.

It is an arithmetic number, because the mean of its divisors is an integer number (398302312320).

Almost surely, 2^{351823319866368} is an apocalyptic number.

351823319866368 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351823319866368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701012069683200).

351823319866368 is an abundant number, since it is smaller than the sum of its proper divisors (1050200819500032).

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

351823319866368 is a wasteful number, since it uses less digits than its factorization.

351823319866368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 981 counting only the distinct ones).

The product of its digits is 806215680, while the sum is 72.

The spelling of 351823319866368 in words is "three hundred fifty-one trillion, eight hundred twenty-three billion, three hundred nineteen million, eight hundred sixty-six thousand, three hundred sixty-eight".