31278181968 has 160 divisors (see below), whose sum is σ = 98029440000. Its totient is φ = 9469756800.

The previous prime is 31278181937. The next prime is 31278181999. The reversal of 31278181968 is 86918187213.

It is an interprime number because it is at equal distance from previous prime (31278181937) and next prime (31278181999).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 7121053 + ... + 7125443.

It is an arithmetic number, because the mean of its divisors is an integer number (612684000).

Almost surely, 2^31278181968 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 31278181968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49014720000).

31278181968 is an abundant number, since it is smaller than the sum of its proper divisors (66751258032).

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

31278181968 is a wasteful number, since it uses less digits than its factorization.

31278181968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5918 (or 5906 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The spelling of 31278181968 in words is "thirty-one billion, two hundred seventy-eight million, one hundred eighty-one thousand, nine hundred sixty-eight".