331117549056 has 800 divisors, whose sum is σ = 1199249314560. Its totient is φ = 88850939904.

The previous prime is 331117549013. The next prime is 331117549073. The reversal of 331117549056 is 650945711133.

331117549056 is a `hidden beast` number, since 3 + 31 + 11 + 75 + 490 + 56 = 666.

331117549056 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×331117549056² (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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 954229075 + ... + 954229421.

Almost surely, 2^331117549056 is an apocalyptic number.

331117549056 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 331117549056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599624657280).

331117549056 is an abundant number, since it is smaller than the sum of its proper divisors (868131765504).

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

331117549056 is a wasteful number, since it uses less digits than its factorization.

331117549056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 331117549056 in words is "three hundred thirty-one billion, one hundred seventeen million, five hundred forty-nine thousand, fifty-six".