1631117231104 has 99 divisors (see below), whose sum is σ = 3300247442037. Its totient is φ = 805770522624.

The previous prime is 1631117231077. The next prime is 1631117231119. The reversal of 1631117231104 is 4011327111361.

It is a happy number.

The square root of 1631117231104 is 1277152.

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

It can be written as a sum of positive squares in only one way, i.e., 886610560000 + 744506671104 = 941600^2 + 862848^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 4372968262 + ... + 4372968634.

Almost surely, 2^{1631117231104} is an apocalyptic number.

1631117231104 is the 1277152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1631117231104

1631117231104 is an abundant number, since it is smaller than the sum of its proper divisors (1669130210933).

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

1631117231104 is an frugal number, since it uses more digits than its factorization.

1631117231104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The spelling of 1631117231104 in words is "one trillion, six hundred thirty-one billion, one hundred seventeen million, two hundred thirty-one thousand, one hundred four".