165437113450752 has 2016 divisors, whose sum is σ = 614448578217600. Its totient is φ = 43686140313600.

The previous prime is 165437113450747. The next prime is 165437113450769. The reversal of 165437113450752 is 257054311734561.

165437113450752 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 3 + 7 + 113 + 450 + 75 + 2 = 666.

It is a super-2 number, since 2×165437113450752² (a number of 29 digits) contains 22 as substring.

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 223 ways as a sum of consecutive naturals, for example, 258092220352 + ... + 258092220992.

It is an arithmetic number, because the mean of its divisors is an integer number (304786001100).

Almost surely, 2^{165437113450752} is an apocalyptic number.

165437113450752 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 165437113450752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307224289108800).

165437113450752 is an abundant number, since it is smaller than the sum of its proper divisors (449011464766848).

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

165437113450752 is a wasteful number, since it uses less digits than its factorization.

165437113450752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 165437113450752 in words is "one hundred sixty-five trillion, four hundred thirty-seven billion, one hundred thirteen million, four hundred fifty thousand, seven hundred fifty-two".