332934422446080 has 5400 divisors, whose sum is σ = 1542447010166832. Its totient is φ = 68448499531776.

The previous prime is 332934422446069. The next prime is 332934422446081. The reversal of 332934422446080 is 80644224439233.

332934422446080 is a `hidden beast` number, since 3 + 3 + 2 + 9 + 3 + 4 + 4 + 2 + 24 + 4 + 608 + 0 = 666.

It is a super-2 number, since 2×332934422446080² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332934422446081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 4011258101719 + ... + 4011258101801.

Almost surely, 2^{332934422446080} is an apocalyptic number.

332934422446080 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 332934422446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771223505083416).

332934422446080 is an abundant number, since it is smaller than the sum of its proper divisors (1209512587720752).

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

332934422446080 is an equidigital number, since it uses as much as digits as its factorization.

332934422446080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 54.

The spelling of 332934422446080 in words is "three hundred thirty-two trillion, nine hundred thirty-four billion, four hundred twenty-two million, four hundred forty-six thousand, eighty".