162118846366704 has 240 divisors, whose sum is σ = 459764240214240. Its totient is φ = 53320852316160.

The previous prime is 162118846366679. The next prime is 162118846366727. The reversal of 162118846366704 is 407663648811261.

162118846366704 is a `hidden beast` number, since 1 + 6 + 21 + 1 + 88 + 463 + 6 + 6 + 70 + 4 = 666.

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, 26970359059 + ... + 26970365069.

It is an arithmetic number, because the mean of its divisors is an integer number (1915684334226).

Almost surely, 2^{162118846366704} 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 162118846366704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229882120107120).

162118846366704 is an abundant number, since it is smaller than the sum of its proper divisors (297645393847536).

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

162118846366704 is a wasteful number, since it uses less digits than its factorization.

162118846366704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10160 (or 10151 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 162118846366704 in words is "one hundred sixty-two trillion, one hundred eighteen billion, eight hundred forty-six million, three hundred sixty-six thousand, seven hundred four".