332205313663272 has 128 divisors (see below), whose sum is σ = 1005256838476800. Its totient is φ = 89308879223808.

The previous prime is 332205313663271. The next prime is 332205313663283. The reversal of 332205313663272 is 272366313502233.

It is a happy number.

It is a super-2 number, since 2×332205313663272² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332205313663271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4597278 + ... + 26182925.

It is an arithmetic number, because the mean of its divisors is an integer number (7853569050600).

Almost surely, 2^{332205313663272} 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 332205313663272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502628419238400).

332205313663272 is an abundant number, since it is smaller than the sum of its proper divisors (673051524813528).

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

332205313663272 is a wasteful number, since it uses less digits than its factorization.

332205313663272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30784015 (or 30784011 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 48.

The spelling of 332205313663272 in words is "three hundred thirty-two trillion, two hundred five billion, three hundred thirteen million, six hundred sixty-three thousand, two hundred seventy-two".