31121683488 has 384 divisors, whose sum is σ = 110888870400. Its totient is φ = 8289091584.

The previous prime is 31121683487. The next prime is 31121683507. The reversal of 31121683488 is 88438612113.

31121683488 is a `hidden beast` number, since 3 + 1 + 1 + 2 + 168 + 3 + 488 = 666.

It is a super-2 number, since 2×31121683488² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31121683487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11205556 + ... + 11208332.

It is an arithmetic number, because the mean of its divisors is an integer number (288773100).

Almost surely, 2^31121683488 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 31121683488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55444435200).

31121683488 is an abundant number, since it is smaller than the sum of its proper divisors (79767186912).

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

31121683488 is a wasteful number, since it uses less digits than its factorization.

31121683488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929 (or 2915 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 31121683488 in words is "thirty-one billion, one hundred twenty-one million, six hundred eighty-three thousand, four hundred eighty-eight".