31704909309216 has 2592 divisors, whose sum is σ = 120853906467840. Its totient is φ = 7796625408000.

The previous prime is 31704909309121. The next prime is 31704909309217. The reversal of 31704909309216 is 61290390940713.

It is a happy number.

31704909309216 is a `hidden beast` number, since 31 + 7 + 0 + 4 + 90 + 9 + 309 + 216 = 666.

It is a super-2 number, since 2×31704909309216² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31704909309217) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 209966286741 + ... + 209966286891.

It is an arithmetic number, because the mean of its divisors is an integer number (46625735520).

Almost surely, 2^{31704909309216} is an apocalyptic number.

31704909309216 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 31704909309216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60426953233920).

31704909309216 is an abundant number, since it is smaller than the sum of its proper divisors (89148997158624).

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

31704909309216 is a wasteful number, since it uses less digits than its factorization.

31704909309216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 31704909309216 in words is "thirty-one trillion, seven hundred four billion, nine hundred nine million, three hundred nine thousand, two hundred sixteen".