8214304357350 has 576 divisors, whose sum is σ = 27323358526464. Its totient is φ = 1722864245760.

The previous prime is 8214304357349. The next prime is 8214304357361. The reversal of 8214304357350 is 537534034128.

8214304357350 is a `hidden beast` number, since 8 + 2 + 1 + 4 + 30 + 43 + 573 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 8214304357296 and 8214304357305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8494626567 + ... + 8494627533.

Almost surely, 2^{8214304357350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8214304357350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13661679263232).

8214304357350 is an abundant number, since it is smaller than the sum of its proper divisors (19109054169114).

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

8214304357350 is a wasteful number, since it uses less digits than its factorization.

8214304357350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 8214304357350 in words is "eight trillion, two hundred fourteen billion, three hundred four million, three hundred fifty-seven thousand, three hundred fifty".