31396284291008 has 224 divisors, whose sum is σ = 79881000837120. Its totient is φ = 11912180981760.

The previous prime is 31396284290989. The next prime is 31396284291013. The reversal of 31396284291008 is 80019248269313.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 12973985 + ... + 15202527.

It is an arithmetic number, because the mean of its divisors is an integer number (356611610880).

Almost surely, 2^{31396284291008} 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 31396284291008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39940500418560).

31396284291008 is an abundant number, since it is smaller than the sum of its proper divisors (48484716546112).

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

31396284291008 is a wasteful number, since it uses less digits than its factorization.

31396284291008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228675 (or 2228665 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 56.

The spelling of 31396284291008 in words is "thirty-one trillion, three hundred ninety-six billion, two hundred eighty-four million, two hundred ninety-one thousand, eight".