331485759504 has 135 divisors (see below), whose sum is σ = 963873959997. Its totient is φ = 110433072384.

The previous prime is 331485759481. The next prime is 331485759533. The reversal of 331485759504 is 405957584133.

It is a happy number.

The square root of 331485759504 is 575748.

It is a perfect power (a square), and thus also a powerful number.

331485759504 is a `hidden beast` number, since 3 + 3 + 1 + 4 + 85 + 7 + 59 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 167985219600 + 163500539904 = 409860^2 + 404352^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 186541464 + ... + 186543240.

Almost surely, 2^331485759504 is an apocalyptic number.

331485759504 is the 575748-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331485759504

331485759504 is an abundant number, since it is smaller than the sum of its proper divisors (632388200493).

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

331485759504 is an frugal number, since it uses more digits than its factorization.

331485759504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 331485759504 in words is "three hundred thirty-one billion, four hundred eighty-five million, seven hundred fifty-nine thousand, five hundred four".