167513211144468 has 180 divisors, whose sum is σ = 494637428970048. Its totient is φ = 47797169364000.

The previous prime is 167513211144397. The next prime is 167513211144491. The reversal of 167513211144468 is 864441112315761.

167513211144468 is a `hidden beast` number, since 1 + 6 + 7 + 5 + 1 + 32 + 1 + 1 + 144 + 468 = 666.

It is a super-2 number, since 2×167513211144468² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 63623155 + ... + 66203717.

Almost surely, 2^{167513211144468} is an apocalyptic number.

167513211144468 is a gapful number since it is divisible by the number (18) 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 167513211144468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247318714485024).

167513211144468 is an abundant number, since it is smaller than the sum of its proper divisors (327124217825580).

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

167513211144468 is a wasteful number, since it uses less digits than its factorization.

167513211144468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581352 (or 2581326 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 167513211144468 in words is "one hundred sixty-seven trillion, five hundred thirteen billion, two hundred eleven million, one hundred forty-four thousand, four hundred sixty-eight".