31717117872 has 240 divisors, whose sum is σ = 104215606560. Its totient is φ = 8897126400.

The previous prime is 31717117853. The next prime is 31717117961. The reversal of 31717117872 is 27871171713.

It is a super-2 number, since 2×31717117872² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1632954 + ... + 1652262.

It is an arithmetic number, because the mean of its divisors is an integer number (434231694).

Almost surely, 2^31717117872 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 31717117872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52107803280).

31717117872 is an abundant number, since it is smaller than the sum of its proper divisors (72498488688).

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

31717117872 is a wasteful number, since it uses less digits than its factorization.

31717117872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19412 (or 19403 counting only the distinct ones).

The product of its digits is 115248, while the sum is 45.

The spelling of 31717117872 in words is "thirty-one billion, seven hundred seventeen million, one hundred seventeen thousand, eight hundred seventy-two".