167212322816 has 624 divisors, whose sum is σ = 459865019520. Its totient is φ = 59949711360.

The previous prime is 167212322791. The next prime is 167212322821. The reversal of 167212322816 is 618223212761.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1878790100 + ... + 1878790188.

Almost surely, 2^167212322816 is an apocalyptic number.

167212322816 is a gapful number since it is divisible by the number (16) 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 167212322816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229932509760).

167212322816 is an abundant number, since it is smaller than the sum of its proper divisors (292652696704).

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

167212322816 is a wasteful number, since it uses less digits than its factorization.

167212322816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 169 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The spelling of 167212322816 in words is "one hundred sixty-seven billion, two hundred twelve million, three hundred twenty-two thousand, eight hundred sixteen".