332825742336 has 176 divisors, whose sum is σ = 894368034560. Its totient is φ = 110036828160.

The previous prime is 332825742329. The next prime is 332825742409. The reversal of 332825742336 is 633247528233.

It is a super-2 number, since 2×332825742336² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344183325 + ... + 344184291.

It is an arithmetic number, because the mean of its divisors is an integer number (5081636560).

Almost surely, 2^332825742336 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 332825742336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447184017280).

332825742336 is an abundant number, since it is smaller than the sum of its proper divisors (561542292224).

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

332825742336 is a wasteful number, since it uses less digits than its factorization.

332825742336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1772 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 48.

The spelling of 332825742336 in words is "three hundred thirty-two billion, eight hundred twenty-five million, seven hundred forty-two thousand, three hundred thirty-six".