31481958600 has 144 divisors (see below), whose sum is σ = 105834046500. Its totient is φ = 8386682880.

The previous prime is 31481958559. The next prime is 31481958659. The reversal of 31481958600 is 685918413.

31481958600 is a `hidden beast` number, since 3 + 1 + 481 + 95 + 86 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 26036404164 + 5445554436 = 161358^2 + 73794^2 .

It is a super-2 number, since 2×31481958600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1879864 + ... + 1896536.

Almost surely, 2^31481958600 is an apocalyptic number.

31481958600 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 31481958600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52917023250).

31481958600 is an abundant number, since it is smaller than the sum of its proper divisors (74352087900).

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

31481958600 is a wasteful number, since it uses less digits than its factorization.

31481958600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17744 (or 17732 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 31481958600 in words is "thirty-one billion, four hundred eighty-one million, nine hundred fifty-eight thousand, six hundred".