332248324805280 has 1152 divisors, whose sum is σ = 1343439261964800. Its totient is φ = 73985028784128.

The previous prime is 332248324805249. The next prime is 332248324805297. The reversal of 332248324805280 is 82508423842233.

332248324805280 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 4 + 8 + 32 + 4 + 80 + 528 + 0 = 666.

It is a super-2 number, since 2×332248324805280² (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 191 ways as a sum of consecutive naturals, for example, 4851085276 + ... + 4851153764.

It is an arithmetic number, because the mean of its divisors is an integer number (1166179914900).

Almost surely, 2^{332248324805280} is an apocalyptic number.

332248324805280 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 332248324805280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671719630982400).

332248324805280 is an abundant number, since it is smaller than the sum of its proper divisors (1011190937159520).

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

332248324805280 is a wasteful number, since it uses less digits than its factorization.

332248324805280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69158 (or 69147 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 332248324805280 in words is "three hundred thirty-two trillion, two hundred forty-eight billion, three hundred twenty-four million, eight hundred five thousand, two hundred eighty".