31145125435344 has 200 divisors, whose sum is σ = 95222711353440. Its totient is φ = 9800546856192.

The previous prime is 31145125435301. The next prime is 31145125435441. The reversal of 31145125435344 is 44353452154113.

31145125435344 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 5 + 1 + 254 + 353 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 31145125435344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4733914 + ... + 9203270.

Almost surely, 2^{31145125435344} 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 31145125435344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47611355676720).

31145125435344 is an abundant number, since it is smaller than the sum of its proper divisors (64077585918096).

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

31145125435344 is a wasteful number, since it uses less digits than its factorization.

31145125435344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4469679 (or 4469664 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

Adding to 31145125435344 its reverse (44353452154113), we get a palindrome (75498577589457).

The spelling of 31145125435344 in words is "thirty-one trillion, one hundred forty-five billion, one hundred twenty-five million, four hundred thirty-five thousand, three hundred forty-four".