331968903552 has 512 divisors, whose sum is σ = 1165069785600. Its totient is φ = 91728322560.

The previous prime is 331968903509. The next prime is 331968903577. The reversal of 331968903552 is 255309869133.

331968903552 is a `hidden beast` number, since 3 + 3 + 1 + 9 + 6 + 89 + 0 + 3 + 552 = 666.

It is a super-2 number, since 2×331968903552² (a number of 24 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41015218 + ... + 41023310.

It is an arithmetic number, because the mean of its divisors is an integer number (2275526925).

Almost surely, 2^331968903552 is an apocalyptic number.

331968903552 is a gapful number since it is divisible by the number (32) 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 331968903552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582534892800).

331968903552 is an abundant number, since it is smaller than the sum of its proper divisors (833100882048).

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

331968903552 is a wasteful number, since it uses less digits than its factorization.

331968903552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8223 (or 8205 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 331968903552 in words is "three hundred thirty-one billion, nine hundred sixty-eight million, nine hundred three thousand, five hundred fifty-two".