167163450227136 has 2688 divisors, whose sum is σ = 633815613849600. Its totient is φ = 41385738240000.

The previous prime is 167163450227089. The next prime is 167163450227161. The reversal of 167163450227136 is 631722054361761.

167163450227136 is a `hidden beast` number, since 1 + 6 + 7 + 1 + 6 + 34 + 502 + 2 + 71 + 36 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 206120160171 + ... + 206120160981.

It is an arithmetic number, because the mean of its divisors is an integer number (235794499200).

Almost surely, 2^{167163450227136} is an apocalyptic number.

167163450227136 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 167163450227136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316907806924800).

167163450227136 is an abundant number, since it is smaller than the sum of its proper divisors (466652163622464).

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

167163450227136 is a wasteful number, since it uses less digits than its factorization.

167163450227136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 167163450227136 in words is "one hundred sixty-seven trillion, one hundred sixty-three billion, four hundred fifty million, two hundred twenty-seven thousand, one hundred thirty-six".