31484093472 has 240 divisors, whose sum is σ = 100156035672. Its totient is φ = 9644728320.

The previous prime is 31484093471. The next prime is 31484093521. The reversal of 31484093472 is 27439048413.

31484093472 is a `hidden beast` number, since 3 + 14 + 84 + 0 + 93 + 472 = 666.

31484093472 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 4 ways, for example, as 21902816016 + 9581277456 = 147996^2 + 97884^2 .

It is not an unprimeable number, because it can be changed into a prime (31484093471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8118798 + ... + 8122674.

Almost surely, 2^31484093472 is an apocalyptic number.

31484093472 is a gapful number since it is divisible by the number (32) 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 31484093472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50078017836).

31484093472 is an abundant number, since it is smaller than the sum of its proper divisors (68671942200).

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

31484093472 is a wasteful number, since it uses less digits than its factorization.

31484093472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 31484093472 in words is "thirty-one billion, four hundred eighty-four million, ninety-three thousand, four hundred seventy-two".