31066603408000 has 192 divisors, whose sum is σ = 77530434504120. Its totient is φ = 12379984281600.

The previous prime is 31066603407977. The next prime is 31066603408033. The reversal of 31066603408000 is 80430666013.

It can be written as a sum of positive squares in 12 ways, for example, as 21423789845056 + 9642813562944 = 4628584^2 + 3105288^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1157762584 + ... + 1157789416.

Almost surely, 2^{31066603408000} 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 31066603408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38765217252060).

31066603408000 is an abundant number, since it is smaller than the sum of its proper divisors (46463831096120).

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

31066603408000 is an frugal number, since it uses more digits than its factorization.

31066603408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27400 (or 27109 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 31066603408000 in words is "thirty-one trillion, sixty-six billion, six hundred three million, four hundred eight thousand".