31678173072 has 360 divisors, whose sum is σ = 111548094840. Its totient is φ = 8318177280.

The previous prime is 31678173061. The next prime is 31678173119. The reversal of 31678173072 is 27037187613.

It can be written as a sum of positive squares in 4 ways, for example, as 10779422976 + 20898750096 = 103824^2 + 144564^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25774954 + ... + 25776182.

It is an arithmetic number, because the mean of its divisors is an integer number (309855819).

Almost surely, 2^31678173072 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 31678173072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55774047420).

31678173072 is an abundant number, since it is smaller than the sum of its proper divisors (79869921768).

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

31678173072 is a wasteful number, since it uses less digits than its factorization.

31678173072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 31678173072 in words is "thirty-one billion, six hundred seventy-eight million, one hundred seventy-three thousand, seventy-two".