165837901824 has 585 divisors, whose sum is σ = 582050748081. Its totient is φ = 46913126400.

The previous prime is 165837901787. The next prime is 165837901843. The reversal of 165837901824 is 428109738561.

The square root of 165837901824 is 407232.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 159335092224 + 6502809600 = 399168^2 + 80640^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1641959374 + ... + 1641959474.

It is a 1-persistent number, because it is pandigital, but 2⋅165837901824 = 331675803648 is not.

Almost surely, 2^165837901824 is an apocalyptic number.

165837901824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

165837901824 is the 407232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165837901824

165837901824 is an abundant number, since it is smaller than the sum of its proper divisors (416212846257).

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

165837901824 is an frugal number, since it uses more digits than its factorization.

165837901824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 165837901824 in words is "one hundred sixty-five billion, eight hundred thirty-seven million, nine hundred one thousand, eight hundred twenty-four".