31311198105408 has 224 divisors, whose sum is σ = 99723429630720. Its totient is φ = 9576523745280.

The previous prime is 31311198105403. The next prime is 31311198105413. The reversal of 31311198105408 is 80450189111313.

31311198105408 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 1 + 1 + 98 + 10 + 540 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (31311198105403) and next prime (31311198105413).

It is a super-2 number, since 2×31311198105408² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31311198105403) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 421683 + ... + 7924658.

It is an arithmetic number, because the mean of its divisors is an integer number (445193882280).

Almost surely, 2^{31311198105408} 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 31311198105408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49861714815360).

31311198105408 is an abundant number, since it is smaller than the sum of its proper divisors (68412231525312).

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

31311198105408 is a wasteful number, since it uses less digits than its factorization.

31311198105408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8346542 (or 8346526 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 31311198105408 in words is "thirty-one trillion, three hundred eleven billion, one hundred ninety-eight million, one hundred five thousand, four hundred eight".