31689462816 has 1152 divisors, whose sum is σ = 120464547840. Its totient is φ = 8062156800.

The previous prime is 31689462811. The next prime is 31689462841. The reversal of 31689462816 is 61826498613.

31689462816 is a `hidden beast` number, since 3 + 1 + 6 + 8 + 9 + 4 + 628 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (31689462811) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 856471950 + ... + 856471986.

It is an arithmetic number, because the mean of its divisors is an integer number (104569920).

Almost surely, 2^31689462816 is an apocalyptic number.

31689462816 is a gapful number since it is divisible by the number (36) 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 31689462816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60232273920).

31689462816 is an abundant number, since it is smaller than the sum of its proper divisors (88775085024).

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

31689462816 is a wasteful number, since it uses less digits than its factorization.

31689462816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 31689462816 in words is "thirty-one billion, six hundred eighty-nine million, four hundred sixty-two thousand, eight hundred sixteen".