31466105216 has 256 divisors, whose sum is σ = 78962688000. Its totient is φ = 12160253952.

The previous prime is 31466105179. The next prime is 31466105263. The reversal of 31466105216 is 61250166413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131657225 + ... + 131657463.

It is an arithmetic number, because the mean of its divisors is an integer number (308448000).

Almost surely, 2^31466105216 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 31466105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39481344000).

31466105216 is an abundant number, since it is smaller than the sum of its proper divisors (47496582784).

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

31466105216 is a wasteful number, since it uses less digits than its factorization.

31466105216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 31466105216 in words is "thirty-one billion, four hundred sixty-six million, one hundred five thousand, two hundred sixteen".