164617342742160 has 2400 divisors, whose sum is σ = 800500797169920. Its totient is φ = 30499318333440.

The previous prime is 164617342742081. The next prime is 164617342742201. The reversal of 164617342742160 is 61247243716461.

164617342742160 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 17 + 3 + 427 + 42 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 164617342742097 and 164617342742106.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1772758452 + ... + 1772851308.

Almost surely, 2^{164617342742160} is an apocalyptic number.

164617342742160 is a gapful number since it is divisible by the number (10) 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 164617342742160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400250398584960).

164617342742160 is an abundant number, since it is smaller than the sum of its proper divisors (635883454427760).

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

164617342742160 is a wasteful number, since it uses less digits than its factorization.

164617342742160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92947 (or 92921 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 164617342742160 in words is "one hundred sixty-four trillion, six hundred seventeen billion, three hundred forty-two million, seven hundred forty-two thousand, one hundred sixty".