31980469248 has 880 divisors, whose sum is σ = 124279429120. Its totient is φ = 7954661376.

The previous prime is 31980469247. The next prime is 31980469253. The reversal of 31980469248 is 84296408913.

31980469248 is a `hidden beast` number, since 319 + 80 + 4 + 6 + 9 + 248 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31980469194 and 31980469203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31980469243) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 143410065 + ... + 143410287.

It is an arithmetic number, because the mean of its divisors is an integer number (141226624).

Almost surely, 2^31980469248 is an apocalyptic number.

31980469248 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 31980469248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62139714560).

31980469248 is an abundant number, since it is smaller than the sum of its proper divisors (92298959872).

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

31980469248 is a wasteful number, since it uses less digits than its factorization.

31980469248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 31980469248 in words is "thirty-one billion, nine hundred eighty million, four hundred sixty-nine thousand, two hundred forty-eight".