31489904160 has 576 divisors, whose sum is σ = 130344754176. Its totient is φ = 6817996800.

The previous prime is 31489904107. The next prime is 31489904161. The reversal of 31489904160 is 6140998413.

31489904160 is a `hidden beast` number, since 3 + 1 + 489 + 9 + 0 + 4 + 160 = 666.

It is a super-2 number, since 2×31489904160² (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 not an unprimeable number, because it can be changed into a prime (31489904161) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6381054 + ... + 6385986.

It is an arithmetic number, because the mean of its divisors is an integer number (226292976).

Almost surely, 2^31489904160 is an apocalyptic number.

31489904160 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 31489904160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65172377088).

31489904160 is an abundant number, since it is smaller than the sum of its proper divisors (98854850016).

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

31489904160 is a wasteful number, since it uses less digits than its factorization.

31489904160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5009 (or 4998 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 31489904160 in words is "thirty-one billion, four hundred eighty-nine million, nine hundred four thousand, one hundred sixty".