167393074944 has 144 divisors (see below), whose sum is σ = 458943408000. Its totient is φ = 54132707328.

The previous prime is 167393074943. The next prime is 167393074949. The reversal of 167393074944 is 449470393761.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167393074943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4903567 + ... + 4937585.

It is an arithmetic number, because the mean of its divisors is an integer number (3187107000).

Almost surely, 2^167393074944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167393074944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229471704000).

167393074944 is an abundant number, since it is smaller than the sum of its proper divisors (291550333056).

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

167393074944 is a wasteful number, since it uses less digits than its factorization.

167393074944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34230 (or 34216 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 57.

The spelling of 167393074944 in words is "one hundred sixty-seven billion, three hundred ninety-three million, seventy-four thousand, nine hundred forty-four".