31348316160 has 288 divisors, whose sum is σ = 124171276320. Its totient is φ = 7165181952.

The previous prime is 31348316147. The next prime is 31348316213. The reversal of 31348316160 is 6161384313.

31348316160 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 8 + 31 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 620824 + ... + 669416.

It is an arithmetic number, because the mean of its divisors is an integer number (431150265).

Almost surely, 2^31348316160 is an apocalyptic number.

31348316160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31348316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62085638160).

31348316160 is an abundant number, since it is smaller than the sum of its proper divisors (92822960160).

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

31348316160 is a wasteful number, since it uses less digits than its factorization.

31348316160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48633 (or 48610 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 31348316160 in words is "thirty-one billion, three hundred forty-eight million, three hundred sixteen thousand, one hundred sixty".