332201214144 has 224 divisors, whose sum is σ = 986542502400. Its totient is φ = 109613399040.

The previous prime is 332201214131. The next prime is 332201214187. The reversal of 332201214144 is 441412102233.

332201214144 is a `hidden beast` number, since 3 + 3 + 220 + 1 + 21 + 414 + 4 = 666.

It is a super-2 number, since 2×332201214144² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70995997 + ... + 71000675.

It is an arithmetic number, because the mean of its divisors is an integer number (4404207600).

Almost surely, 2^332201214144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332201214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493271251200).

332201214144 is an abundant number, since it is smaller than the sum of its proper divisors (654341288256).

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

332201214144 is a wasteful number, since it uses less digits than its factorization.

332201214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5108 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 332201214144 its reverse (441412102233), we get a palindrome (773613316377).

The spelling of 332201214144 in words is "three hundred thirty-two billion, two hundred one million, two hundred fourteen thousand, one hundred forty-four".