330642001248 has 384 divisors, whose sum is σ = 1043168071680. Its totient is φ = 90744053760.

The previous prime is 330642001243. The next prime is 330642001307. The reversal of 330642001248 is 842100246033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330642001243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27191586 + ... + 27203742.

It is an arithmetic number, because the mean of its divisors is an integer number (2716583520).

Almost surely, 2^330642001248 is an apocalyptic number.

330642001248 is a gapful number since it is divisible by the number (38) 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 330642001248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521584035840).

330642001248 is an abundant number, since it is smaller than the sum of its proper divisors (712526070432).

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

330642001248 is a wasteful number, since it uses less digits than its factorization.

330642001248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12270 (or 12262 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 330642001248 in words is "three hundred thirty billion, six hundred forty-two million, one thousand, two hundred forty-eight".