31226961168 has 480 divisors, whose sum is σ = 103531151360. Its totient is φ = 8700410880.

The previous prime is 31226961089. The next prime is 31226961179. The reversal of 31226961168 is 86116962213.

31226961168 is a `hidden beast` number, since 3 + 1 + 2 + 26 + 9 + 611 + 6 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140031105 + ... + 140031327.

Almost surely, 2^31226961168 is an apocalyptic number.

31226961168 is a gapful number since it is divisible by the number (38) 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 31226961168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51765575680).

31226961168 is an abundant number, since it is smaller than the sum of its proper divisors (72304190192).

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

31226961168 is a wasteful number, since it uses less digits than its factorization.

31226961168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 418 counting only the distinct ones).

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

The spelling of 31226961168 in words is "thirty-one billion, two hundred twenty-six million, nine hundred sixty-one thousand, one hundred sixty-eight".