332009888141088 has 768 divisors, whose sum is σ = 1082369990983680. Its totient is φ = 98531201433600.

The previous prime is 332009888141077. The next prime is 332009888141203. The reversal of 332009888141088 is 880141888900233.

332009888141088 is a `hidden beast` number, since 3 + 3 + 200 + 9 + 8 + 8 + 8 + 1 + 410 + 8 + 8 = 666.

It is a super-2 number, since 2×332009888141088² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6539850681 + ... + 6539901447.

It is an arithmetic number, because the mean of its divisors is an integer number (1409335925760).

Almost surely, 2^{332009888141088} 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 332009888141088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541184995491840).

332009888141088 is an abundant number, since it is smaller than the sum of its proper divisors (750360102842592).

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

332009888141088 is a wasteful number, since it uses less digits than its factorization.

332009888141088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51158 (or 51144 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 332009888141088 in words is "three hundred thirty-two trillion, nine billion, eight hundred eighty-eight million, one hundred forty-one thousand, eighty-eight".