31366406016126 has 80 divisors (see below), whose sum is σ = 71175581367264. Its totient is φ = 10323537993216.

The previous prime is 31366406016109. The next prime is 31366406016149. The reversal of 31366406016126 is 62161060466313.

31366406016126 is a `hidden beast` number, since 3 + 1 + 3 + 66 + 406 + 0 + 161 + 26 = 666.

It is a super-4 number, since 4×31366406016126⁴ (a number of 55 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1556970 + ... + 8071986.

Almost surely, 2^{31366406016126} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31366406016126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35587790683632).

31366406016126 is an abundant number, since it is smaller than the sum of its proper divisors (39809175351138).

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

31366406016126 is a wasteful number, since it uses less digits than its factorization.

31366406016126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6515407 (or 6515398 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 31366406016126 in words is "thirty-one trillion, three hundred sixty-six billion, four hundred six million, sixteen thousand, one hundred twenty-six".