332516024935968 has 192 divisors, whose sum is σ = 949372290074880. Its totient is φ = 101478476316672.

The previous prime is 332516024935889. The next prime is 332516024935999. The reversal of 332516024935968 is 869539420615233.

It is a super-2 number, since 2×332516024935968² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332516024935899 and 332516024935908.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294654205 + ... + 295780547.

It is an arithmetic number, because the mean of its divisors is an integer number (4944647344140).

Almost surely, 2^{332516024935968} 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 332516024935968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474686145037440).

332516024935968 is an abundant number, since it is smaller than the sum of its proper divisors (616856265138912).

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

332516024935968 is a wasteful number, since it uses less digits than its factorization.

332516024935968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131299 (or 1131291 counting only the distinct ones).

The product of its (nonzero) digits is 251942400, while the sum is 66.

The spelling of 332516024935968 in words is "three hundred thirty-two trillion, five hundred sixteen billion, twenty-four million, nine hundred thirty-five thousand, nine hundred sixty-eight".