31114032768 has 1024 divisors, whose sum is σ = 122830848000. Its totient is φ = 7524679680.

The previous prime is 31114032767. The next prime is 31114032773. The reversal of 31114032768 is 86723041113.

It is a happy number.

31114032768 is a `hidden beast` number, since 311 + 14 + 0 + 327 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31114032767) 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 127 ways as a sum of consecutive naturals, for example, 244992321 + ... + 244992447.

It is an arithmetic number, because the mean of its divisors is an integer number (119952000).

Almost surely, 2^31114032768 is an apocalyptic number.

31114032768 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 31114032768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61415424000).

31114032768 is an abundant number, since it is smaller than the sum of its proper divisors (91716815232).

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

31114032768 is a wasteful number, since it uses less digits than its factorization.

31114032768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 31114032768 in words is "thirty-one billion, one hundred fourteen million, thirty-two thousand, seven hundred sixty-eight".