165573784703712 has 3072 divisors, whose sum is σ = 646119161856000. Its totient is φ = 36529532928000.

The previous prime is 165573784703669. The next prime is 165573784703759. The reversal of 165573784703712 is 217307487375561.

It is a happy number.

It is a super-2 number, since 2×165573784703712² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 257501997663 + ... + 257501998305.

It is an arithmetic number, because the mean of its divisors is an integer number (210325248000).

Almost surely, 2^{165573784703712} is an apocalyptic number.

165573784703712 is a gapful number since it is divisible by the number (12) 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 165573784703712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323059580928000).

165573784703712 is an abundant number, since it is smaller than the sum of its proper divisors (480545377152288).

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

165573784703712 is a wasteful number, since it uses less digits than its factorization.

165573784703712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 207446400, while the sum is 66.

The spelling of 165573784703712 in words is "one hundred sixty-five trillion, five hundred seventy-three billion, seven hundred eighty-four million, seven hundred three thousand, seven hundred twelve".