31342443264 has 432 divisors, whose sum is σ = 103227755904. Its totient is φ = 9405849600.

The previous prime is 31342443239. The next prime is 31342443269. The reversal of 31342443264 is 46234424313.

31342443264 is a `hidden beast` number, since 313 + 42 + 4 + 43 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 not an unprimeable number, because it can be changed into a prime (31342443269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111538804 + ... + 111539084.

Almost surely, 2^31342443264 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 31342443264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51613877952).

31342443264 is an abundant number, since it is smaller than the sum of its proper divisors (71885312640).

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

31342443264 is a wasteful number, since it uses less digits than its factorization.

31342443264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 460 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 31342443264 its reverse (46234424313), we get a palindrome (77576867577).

The spelling of 31342443264 in words is "thirty-one billion, three hundred forty-two million, four hundred forty-three thousand, two hundred sixty-four".