332429559793968 has 320 divisors, whose sum is σ = 1057809605852160. Its totient is φ = 87602917146624.

The previous prime is 332429559793951. The next prime is 332429559794009. The reversal of 332429559793968 is 869397955924233.

It is a super-2 number, since 2×332429559793968² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 50605805788 + ... + 50605812356.

It is an arithmetic number, because the mean of its divisors is an integer number (3305655018288).

Almost surely, 2^{332429559793968} 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 332429559793968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528904802926080).

332429559793968 is an abundant number, since it is smaller than the sum of its proper divisors (725380046058192).

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

332429559793968 is a wasteful number, since it uses less digits than its factorization.

332429559793968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14196 (or 14190 counting only the distinct ones).

The product of its digits is 23808556800, while the sum is 84.

The spelling of 332429559793968 in words is "three hundred thirty-two trillion, four hundred twenty-nine billion, five hundred fifty-nine million, seven hundred ninety-three thousand, nine hundred sixty-eight".