516394226322 has 270 divisors, whose sum is σ = 1295603249391. Its totient is φ = 153658814400.

The previous prime is 516394226321. The next prime is 516394226323. The reversal of 516394226322 is 223622493615.

516394226322 is a `hidden beast` number, since 5 + 1 + 6 + 3 + 9 + 4 + 2 + 2 + 632 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (516394226321) and next prime (516394226323).

It can be written as a sum of positive squares in 5 ways, for example, as 356577373881 + 159816852441 = 597141^2 + 399771^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=508131.

Its product of digits (933120) is a multiple of the sum of its prime divisors (162).

It is not an unprimeable number, because it can be changed into a prime (516394226321) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5112814072 + ... + 5112814172.

Almost surely, 2^516394226322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516394226322

516394226322 is an abundant number, since it is smaller than the sum of its proper divisors (779209023069).

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

516394226322 is a wasteful number, since it uses less digits than its factorization.

516394226322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 162 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 516394226322 in words is "five hundred sixteen billion, three hundred ninety-four million, two hundred twenty-six thousand, three hundred twenty-two".