332741145000 has 320 divisors, whose sum is σ = 1149993884160. Its totient is φ = 79525600000.

The previous prime is 332741144909. The next prime is 332741145007. The reversal of 332741145000 is 541147233.

It is a happy number.

It is a super-2 number, since 2×332741145000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (332741145007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11700799 + ... + 11729201.

It is an arithmetic number, because the mean of its divisors is an integer number (3593730888).

Almost surely, 2^332741145000 is an apocalyptic number.

332741145000 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 332741145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574996942080).

332741145000 is an abundant number, since it is smaller than the sum of its proper divisors (817252739160).

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

332741145000 is a wasteful number, since it uses less digits than its factorization.

332741145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28514 (or 28495 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 332741145000 in words is "three hundred thirty-two billion, seven hundred forty-one million, one hundred forty-five thousand".