165842868043776 has 1632 divisors, whose sum is σ = 610039078686720. Its totient is φ = 39477628108800.

The previous prime is 165842868043739. The next prime is 165842868043781. The reversal of 165842868043776 is 677340868248561.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 165842868043698 and 165842868043707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62417337040 + ... + 62417339696.

Almost surely, 2^{165842868043776} is an apocalyptic number.

165842868043776 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 165842868043776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305019539343360).

165842868043776 is an abundant number, since it is smaller than the sum of its proper divisors (444196210642944).

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

165842868043776 is a wasteful number, since it uses less digits than its factorization.

165842868043776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 2601123840, while the sum is 75.

The spelling of 165842868043776 in words is "one hundred sixty-five trillion, eight hundred forty-two billion, eight hundred sixty-eight million, forty-three thousand, seven hundred seventy-six".