350389160468928 has 896 divisors, whose sum is σ = 1259321535037440. Its totient is φ = 93352977653760.

The previous prime is 350389160468891. The next prime is 350389160468983. The reversal of 350389160468928 is 829864061983053.

It is a happy number.

350389160468928 is a `hidden beast` number, since 3 + 5 + 0 + 3 + 8 + 9 + 1 + 604 + 6 + 8 + 9 + 2 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16231478551 + ... + 16231500137.

It is an arithmetic number, because the mean of its divisors is an integer number (1405492784640).

Almost surely, 2^{350389160468928} 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 350389160468928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629660767518720).

350389160468928 is an abundant number, since it is smaller than the sum of its proper divisors (908932374568512).

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

350389160468928 is a wasteful number, since it uses less digits than its factorization.

350389160468928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23102 (or 23086 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 350389160468928 in words is "three hundred fifty trillion, three hundred eighty-nine billion, one hundred sixty million, four hundred sixty-eight thousand, nine hundred twenty-eight".