331886723168 has 768 divisors, whose sum is σ = 975421440000. Its totient is φ = 109125273600.

The previous prime is 331886723159. The next prime is 331886723171. The reversal of 331886723168 is 861327688133.

It is a super-2 number, since 2×331886723168² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 924475373 + ... + 924475731.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080000).

Almost surely, 2^331886723168 is an apocalyptic number.

331886723168 is a gapful number since it is divisible by the number (38) 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 331886723168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487710720000).

331886723168 is an abundant number, since it is smaller than the sum of its proper divisors (643534716832).

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

331886723168 is a wasteful number, since it uses less digits than its factorization.

331886723168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 442 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 56.

The spelling of 331886723168 in words is "three hundred thirty-one billion, eight hundred eighty-six million, seven hundred twenty-three thousand, one hundred sixty-eight".