31178191968 has 972 divisors, whose sum is σ = 123307542540. Its totient is φ = 7424524800.

The previous prime is 31178191963. The next prime is 31178191991. The reversal of 31178191968 is 86919187113.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31178191963) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 1005748113 + ... + 1005748143.

Almost surely, 2^31178191968 is an apocalyptic number.

31178191968 is a gapful number since it is divisible by the number (38) 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 31178191968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61653771270).

31178191968 is an abundant number, since it is smaller than the sum of its proper divisors (92129350572).

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

31178191968 is a wasteful number, since it uses less digits than its factorization.

31178191968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 73 counting only the distinct ones).

The product of its digits is 653184, while the sum is 54.

The spelling of 31178191968 in words is "thirty-one billion, one hundred seventy-eight million, one hundred ninety-one thousand, nine hundred sixty-eight".