32163236352 has 400 divisors, whose sum is σ = 104289653160. Its totient is φ = 9868345344.

The previous prime is 32163236327. The next prime is 32163236407. The reversal of 32163236352 is 25363236123.

32163236352 is a `hidden beast` number, since 3 + 2 + 16 + 3 + 2 + 3 + 635 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 740710656 + 31422525696 = 27216^2 + 177264^2 .

It is a super-2 number, since 2×32163236352² (a number of 22 digits) contains 22 as substring.

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

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 39 ways as a sum of consecutive naturals, for example, 91113808 + ... + 91114160.

Almost surely, 2^32163236352 is an apocalyptic number.

32163236352 is a gapful number since it is divisible by the number (32) 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 32163236352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52144826580).

32163236352 is an abundant number, since it is smaller than the sum of its proper divisors (72126416808).

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

32163236352 is an frugal number, since it uses more digits than its factorization.

32163236352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 371 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The spelling of 32163236352 in words is "thirty-two billion, one hundred sixty-three million, two hundred thirty-six thousand, three hundred fifty-two".