165253011142032 has 480 divisors, whose sum is σ = 537764684535936. Its totient is φ = 46816988774400.

The previous prime is 165253011142013. The next prime is 165253011142069. The reversal of 165253011142032 is 230241110352561.

165253011142032 is a `hidden beast` number, since 1 + 6 + 5 + 2 + 530 + 1 + 114 + 2 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5455139878 + ... + 5455170170.

Almost surely, 2^{165253011142032} is an apocalyptic number.

165253011142032 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 165253011142032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268882342267968).

165253011142032 is an abundant number, since it is smaller than the sum of its proper divisors (372511673393904).

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

165253011142032 is a wasteful number, since it uses less digits than its factorization.

165253011142032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31679 (or 31670 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 165253011142032 its reverse (230241110352561), we get a palindrome (395494121494593).

The spelling of 165253011142032 in words is "one hundred sixty-five trillion, two hundred fifty-three billion, eleven million, one hundred forty-two thousand, thirty-two".