331672301856 has 432 divisors, whose sum is σ = 1128785688576. Its totient is φ = 93964437504.

The previous prime is 331672301837. The next prime is 331672301861. The reversal of 331672301856 is 658103276133.

331672301856 is a `hidden beast` number, since 331 + 6 + 7 + 2 + 301 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×331672301856² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 186646440 + ... + 186648216.

Almost surely, 2^331672301856 is an apocalyptic number.

331672301856 is a gapful number since it is divisible by the number (36) 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 331672301856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564392844288).

331672301856 is an abundant number, since it is smaller than the sum of its proper divisors (797113386720).

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

331672301856 is an equidigital number, since it uses as much as digits as its factorization.

331672301856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

Adding to 331672301856 its reverse (658103276133), we get a palindrome (989775577989).

The spelling of 331672301856 in words is "three hundred thirty-one billion, six hundred seventy-two million, three hundred one thousand, eight hundred fifty-six".