165363653952 has 924 divisors, whose sum is σ = 615532749120. Its totient is φ = 43807744512.

The previous prime is 165363653947. The next prime is 165363653977. The reversal of 165363653952 is 259356363561.

165363653952 is a `hidden beast` number, since 1 + 6 + 53 + 6 + 3 + 6 + 539 + 52 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 3518375593 + ... + 3518375639.

Almost surely, 2^165363653952 is an apocalyptic number.

165363653952 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 165363653952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307766374560).

165363653952 is an abundant number, since it is smaller than the sum of its proper divisors (450169095168).

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

165363653952 is an frugal number, since it uses more digits than its factorization.

165363653952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 78 counting only the distinct ones).

The product of its digits is 13122000, while the sum is 54.

The spelling of 165363653952 in words is "one hundred sixty-five billion, three hundred sixty-three million, six hundred fifty-three thousand, nine hundred fifty-two".