31145414423032 has 256 divisors, whose sum is σ = 74665341112320. Its totient is φ = 11854570752000.

The previous prime is 31145414423027. The next prime is 31145414423047. The reversal of 31145414423032 is 23032441454113.

It is a junction number, because it is equal to n+sod(n) for n = 31145414422982 and 31145414423000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 372230433 + ... + 372314095.

It is an arithmetic number, because the mean of its divisors is an integer number (291661488720).

Almost surely, 2^{31145414423032} 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 31145414423032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37332670556160).

31145414423032 is an abundant number, since it is smaller than the sum of its proper divisors (43519926689288).

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

31145414423032 is a wasteful number, since it uses less digits than its factorization.

31145414423032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83934 (or 83930 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 31145414423032 its reverse (23032441454113), we get a palindrome (54177855877145).

The spelling of 31145414423032 in words is "thirty-one trillion, one hundred forty-five billion, four hundred fourteen million, four hundred twenty-three thousand, thirty-two".