31304160468 has 288 divisors, whose sum is σ = 100227778560. Its totient is φ = 8032296960.

The previous prime is 31304160439. The next prime is 31304160473. The reversal of 31304160468 is 86406140313.

It is a happy number.

31304160468 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 41 + 604 + 6 + 8 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9693078 + ... + 9696306.

It is an arithmetic number, because the mean of its divisors is an integer number (348013120).

Almost surely, 2^31304160468 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 31304160468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50113889280).

31304160468 is an abundant number, since it is smaller than the sum of its proper divisors (68923618092).

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

31304160468 is a wasteful number, since it uses less digits than its factorization.

31304160468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 31304160468 in words is "thirty-one billion, three hundred four million, one hundred sixty thousand, four hundred sixty-eight".