331623167616 has 576 divisors, whose sum is σ = 1113509030400. Its totient is φ = 94413496320.

The previous prime is 331623167597. The next prime is 331623167621. The reversal of 331623167616 is 616761326133.

331623167616 is a `hidden beast` number, since 3 + 3 + 1 + 6 + 23 + 1 + 6 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×331623167616² (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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 138811350 + ... + 138813738.

It is an arithmetic number, because the mean of its divisors is an integer number (1933175400).

Almost surely, 2^331623167616 is an apocalyptic number.

331623167616 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 331623167616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556754515200).

331623167616 is an abundant number, since it is smaller than the sum of its proper divisors (781885862784).

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

331623167616 is a wasteful number, since it uses less digits than its factorization.

331623167616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2461 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The spelling of 331623167616 in words is "three hundred thirty-one billion, six hundred twenty-three million, one hundred sixty-seven thousand, six hundred sixteen".