31134400224 has 48 divisors (see below), whose sum is σ = 81748508688. Its totient is φ = 10375503872.

The previous prime is 31134400207. The next prime is 31134400229. The reversal of 31134400224 is 42200443113.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×31134400224² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 31134400194 and 31134400203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31134400229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 360064 + ... + 438080.

It is an arithmetic number, because the mean of its divisors is an integer number (1703093931).

Almost surely, 2^31134400224 is an apocalyptic number.

It is an amenable number.

31134400224 is an abundant number, since it is smaller than the sum of its proper divisors (50614108464).

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

31134400224 is a wasteful number, since it uses less digits than its factorization.

31134400224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82187 (or 82179 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 31134400224 its reverse (42200443113), we get a palindrome (73334843337).

The spelling of 31134400224 in words is "thirty-one billion, one hundred thirty-four million, four hundred thousand, two hundred twenty-four".