31872228864 has 320 divisors, whose sum is σ = 103632224256. Its totient is φ = 8497004544.

The previous prime is 31872228853. The next prime is 31872228893. The reversal of 31872228864 is 46882227813.

It is a Harshad number since it is a multiple of its sum of digits (51).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23212882 + ... + 23214254.

Almost surely, 2^31872228864 is an apocalyptic number.

31872228864 is a gapful number since it is divisible by the number (34) 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 31872228864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51816112128).

31872228864 is an abundant number, since it is smaller than the sum of its proper divisors (71759995392).

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

31872228864 is a wasteful number, since it uses less digits than its factorization.

31872228864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1529 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

The spelling of 31872228864 in words is "thirty-one billion, eight hundred seventy-two million, two hundred twenty-eight thousand, eight hundred sixty-four".