31804144260000 has 480 divisors, whose sum is σ = 120321378334080. Its totient is φ = 7202815488000.

The previous prime is 31804144259957. The next prime is 31804144260001. The reversal of 31804144260000 is 6244140813.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×31804144260000² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31804144260001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45432642 + ... + 46127358.

It is an arithmetic number, because the mean of its divisors is an integer number (250669538196).

Almost surely, 2^{31804144260000} is an apocalyptic number.

31804144260000 is a gapful number since it is divisible by the number (30) 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 31804144260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60160689167040).

31804144260000 is an abundant number, since it is smaller than the sum of its proper divisors (88517234074080).

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

31804144260000 is a wasteful number, since it uses less digits than its factorization.

31804144260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694866 (or 694843 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 31804144260000 in words is "thirty-one trillion, eight hundred four billion, one hundred forty-four million, two hundred sixty thousand".