167968288103392 has 288 divisors, whose sum is σ = 408312378593280. Its totient is φ = 67627431567360.

The previous prime is 167968288103389. The next prime is 167968288103423. The reversal of 167968288103392 is 293301882869761.

It is a congruent number.

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, 8600076667 + ... + 8600096197.

It is an arithmetic number, because the mean of its divisors is an integer number (1417751314560).

Almost surely, 2^{167968288103392} 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 167968288103392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204156189296640).

167968288103392 is an abundant number, since it is smaller than the sum of its proper divisors (240344090489888).

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

167968288103392 is a wasteful number, since it uses less digits than its factorization.

167968288103392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21974 (or 21959 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 73.

The spelling of 167968288103392 in words is "one hundred sixty-seven trillion, nine hundred sixty-eight billion, two hundred eighty-eight million, one hundred three thousand, three hundred ninety-two".