331126625088 has 336 divisors, whose sum is σ = 1094635295104. Its totient is φ = 93744967680.

The previous prime is 331126625057. The next prime is 331126625099. The reversal of 331126625088 is 880526621133.

331126625088 is a `hidden beast` number, since 3 + 3 + 1 + 12 + 6 + 625 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×331126625088² (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 437419206 + ... + 437419962.

Almost surely, 2^331126625088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331126625088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547317647552).

331126625088 is an abundant number, since it is smaller than the sum of its proper divisors (763508670016).

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

331126625088 is a wasteful number, since it uses less digits than its factorization.

331126625088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 331126625088 in words is "three hundred thirty-one billion, one hundred twenty-six million, six hundred twenty-five thousand, eighty-eight".