331501872816 has 120 divisors (see below), whose sum is σ = 944470800000. Its totient is φ = 108525136896.

The previous prime is 331501872811. The next prime is 331501872841. The reversal of 331501872816 is 618278105133.

It is a happy number.

331501872816 is a `hidden beast` number, since 3 + 31 + 501 + 87 + 28 + 16 = 666.

It is a super-3 number, since 3×331501872816³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (331501872811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1822785 + ... + 1996383.

It is an arithmetic number, because the mean of its divisors is an integer number (7870590000).

Almost surely, 2^331501872816 is an apocalyptic number.

331501872816 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 331501872816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472235400000).

331501872816 is an abundant number, since it is smaller than the sum of its proper divisors (612968927184).

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

331501872816 is a wasteful number, since it uses less digits than its factorization.

331501872816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173851 (or 173842 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

Adding to 331501872816 its reverse (618278105133), we get a palindrome (949779977949).

The spelling of 331501872816 in words is "three hundred thirty-one billion, five hundred one million, eight hundred seventy-two thousand, eight hundred sixteen".