32111972352 has 312 divisors, whose sum is σ = 98679925760. Its totient is φ = 10060775424.

The previous prime is 32111972341. The next prime is 32111972407. The reversal of 32111972352 is 25327911123.

It is a happy number.

32111972352 is a `hidden beast` number, since 3 + 211 + 1 + 97 + 2 + 352 = 666.

It is a super-2 number, since 2×32111972352² (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 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 23 ways as a sum of consecutive naturals, for example, 252850113 + ... + 252850239.

Almost surely, 2^32111972352 is an apocalyptic number.

32111972352 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 32111972352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49339962880).

32111972352 is an abundant number, since it is smaller than the sum of its proper divisors (66567953408).

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

32111972352 is an equidigital number, since it uses as much as digits as its factorization.

32111972352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 151 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The spelling of 32111972352 in words is "thirty-two billion, one hundred eleven million, nine hundred seventy-two thousand, three hundred fifty-two".