167434606416 has 480 divisors, whose sum is σ = 570093797376. Its totient is φ = 41827968000.

The previous prime is 167434606397. The next prime is 167434606439. The reversal of 167434606416 is 614606434761.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153187566 + ... + 153188658.

Almost surely, 2^167434606416 is an apocalyptic number.

167434606416 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 167434606416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285046898688).

167434606416 is an abundant number, since it is smaller than the sum of its proper divisors (402659190960).

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

167434606416 is a wasteful number, since it uses less digits than its factorization.

167434606416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 167434606416 in words is "one hundred sixty-seven billion, four hundred thirty-four million, six hundred six thousand, four hundred sixteen".