165671406959616 has 264 divisors, whose sum is σ = 486367249684784. Its totient is φ = 54301459415040.

The previous prime is 165671406959593. The next prime is 165671406959701. The reversal of 165671406959616 is 616959604176561.

165671406959616 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 7 + 14 + 0 + 6 + 9 + 596 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1859071476 + ... + 1859160588.

Almost surely, 2^{165671406959616} is an apocalyptic number.

165671406959616 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 165671406959616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243183624842392).

165671406959616 is an abundant number, since it is smaller than the sum of its proper divisors (320695842725168).

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

165671406959616 is a wasteful number, since it uses less digits than its factorization.

165671406959616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92507 (or 92486 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 165671406959616 in words is "one hundred sixty-five trillion, six hundred seventy-one billion, four hundred six million, nine hundred fifty-nine thousand, six hundred sixteen".