31425466304466 has 96 divisors (see below), whose sum is σ = 73509567571440. Its totient is φ = 9645193152000.

The previous prime is 31425466304443. The next prime is 31425466304489. The reversal of 31425466304466 is 66440366452413.

31425466304466 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 546 + 6 + 30 + 4 + 4 + 66 = 666.

It is an interprime number because it is at equal distance from previous prime (31425466304443) and next prime (31425466304489).

It can be written as a sum of positive squares in 8 ways, for example, as 10924538742441 + 20500927562025 = 3305229^2 + 4527795^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335333416 + ... + 335427116.

Almost surely, 2^{31425466304466} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31425466304466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36754783785720).

31425466304466 is an abundant number, since it is smaller than the sum of its proper divisors (42084101266974).

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

31425466304466 is a wasteful number, since it uses less digits than its factorization.

31425466304466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97292 (or 97289 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 54.

The spelling of 31425466304466 in words is "thirty-one trillion, four hundred twenty-five billion, four hundred sixty-six million, three hundred four thousand, four hundred sixty-six".