31481987472 has 720 divisors, whose sum is σ = 110704164480. Its totient is φ = 8572760064.

The previous prime is 31481987461. The next prime is 31481987477. The reversal of 31481987472 is 27478918413.

31481987472 is a `hidden beast` number, since 3 + 1 + 4 + 81 + 98 + 7 + 472 = 666.

It is a super-2 number, since 2×31481987472² (a number of 22 digits) contains 22 as substring.

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

Its product of digits (2709504) is a multiple of the sum of its prime factors (144).

It is not an unprimeable number, because it can be changed into a prime (31481987477) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 533592979 + ... + 533593037.

It is an arithmetic number, because the mean of its divisors is an integer number (153755784).

Almost surely, 2^31481987472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31481987472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55352082240).

31481987472 is an abundant number, since it is smaller than the sum of its proper divisors (79222177008).

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

31481987472 is a wasteful number, since it uses less digits than its factorization.

31481987472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 31481987472 in words is "thirty-one billion, four hundred eighty-one million, nine hundred eighty-seven thousand, four hundred seventy-two".