332443061661120 has 224 divisors, whose sum is σ = 1118124381423168. Its totient is φ = 83397194022912.

The previous prime is 332443061661059. The next prime is 332443061661157. The reversal of 332443061661120 is 21166160344233.

It is a super-2 number, since 2×332443061661120² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 29663932 + ... + 39304388.

It is an arithmetic number, because the mean of its divisors is an integer number (4991626702782).

Almost surely, 2^{332443061661120} is an apocalyptic number.

332443061661120 is a gapful number since it is divisible by the number (30) 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 332443061661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559062190711584).

332443061661120 is an abundant number, since it is smaller than the sum of its proper divisors (785681319762048).

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

332443061661120 is a wasteful number, since it uses less digits than its factorization.

332443061661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9642607 (or 9642597 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 332443061661120 in words is "three hundred thirty-two trillion, four hundred forty-three billion, sixty-one million, six hundred sixty-one thousand, one hundred twenty".