31381341264 has 720 divisors, whose sum is σ = 116700030720. Its totient is φ = 7789824000.

The previous prime is 31381341223. The next prime is 31381341373. The reversal of 31381341264 is 46214318313.

31381341264 is a `hidden beast` number, since 313 + 81 + 3 + 4 + 1 + 264 = 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 125025139 + ... + 125025389.

It is an arithmetic number, because the mean of its divisors is an integer number (162083376).

Almost surely, 2^31381341264 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 31381341264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58350015360).

31381341264 is an abundant number, since it is smaller than the sum of its proper divisors (85318689456).

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

31381341264 is a wasteful number, since it uses less digits than its factorization.

31381341264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

Adding to 31381341264 its reverse (46214318313), we get a palindrome (77595659577).

The spelling of 31381341264 in words is "thirty-one billion, three hundred eighty-one million, three hundred forty-one thousand, two hundred sixty-four".