332334198072144 has 200 divisors, whose sum is σ = 1018513349801640. Its totient is φ = 104255456182272.

The previous prime is 332334198072077. The next prime is 332334198072179. The reversal of 332334198072144 is 441270891433233.

332334198072144 is a `hidden beast` number, since 3 + 3 + 2 + 3 + 3 + 419 + 8 + 0 + 7 + 214 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62780584496400 + 269553613575744 = 7923420^2 + 16418088^2 .

It is a super-2 number, since 2×332334198072144² (a number of 30 digits) contains 22 as substring.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 373945942 + ... + 374833610.

Almost surely, 2^{332334198072144} is an apocalyptic number.

332334198072144 is a gapful number since it is divisible by the number (34) 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 332334198072144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509256674900820).

332334198072144 is an abundant number, since it is smaller than the sum of its proper divisors (686179151729496).

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

332334198072144 is a wasteful number, since it uses less digits than its factorization.

332334198072144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904699 (or 904684 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 332334198072144 in words is "three hundred thirty-two trillion, three hundred thirty-four billion, one hundred ninety-eight million, seventy-two thousand, one hundred forty-four".