31461433344 has 448 divisors, whose sum is σ = 103739777280. Its totient is φ = 9342812160.

The previous prime is 31461433301. The next prime is 31461433351. The reversal of 31461433344 is 44333416413.

31461433344 is a `hidden beast` number, since 3 + 1 + 4 + 614 + 3 + 3 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 31461433299 and 31461433308.

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, 163012512 + ... + 163012704.

Almost surely, 2^31461433344 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 31461433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51869888640).

31461433344 is an abundant number, since it is smaller than the sum of its proper divisors (72278343936).

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

31461433344 is a wasteful number, since it uses less digits than its factorization.

31461433344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 276 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 31461433344 its reverse (44333416413), we get a palindrome (75794849757).

The spelling of 31461433344 in words is "thirty-one billion, four hundred sixty-one million, four hundred thirty-three thousand, three hundred forty-four".