32214045312 has 192 divisors, whose sum is σ = 97317792000. Its totient is φ = 10214830080.

The previous prime is 32214045307. The next prime is 32214045397. The reversal of 32214045312 is 21354041223.

32214045312 is a `hidden beast` number, since 3 + 221 + 404 + 5 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2099364 + ... + 2114652.

It is an arithmetic number, because the mean of its divisors is an integer number (506863500).

Almost surely, 2^32214045312 is an apocalyptic number.

32214045312 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 32214045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48658896000).

32214045312 is an abundant number, since it is smaller than the sum of its proper divisors (65103746688).

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

32214045312 is a wasteful number, since it uses less digits than its factorization.

32214045312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15399 (or 15384 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 32214045312 its reverse (21354041223), we get a palindrome (53568086535).

The spelling of 32214045312 in words is "thirty-two billion, two hundred fourteen million, forty-five thousand, three hundred twelve".