31361631444 has 144 divisors (see below), whose sum is σ = 93353420160. Its totient is φ = 8751870720.

The previous prime is 31361631437. The next prime is 31361631451. The reversal of 31361631444 is 44413616313.

31361631444 is a `hidden beast` number, since 3 + 1 + 3 + 616 + 31 + 4 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (31361631437) and next prime (31361631451).

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 junction number, because it is equal to n+sod(n) for n = 31361631399 and 31361631408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2253034 + ... + 2266910.

It is an arithmetic number, because the mean of its divisors is an integer number (648287640).

Almost surely, 2^31361631444 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 31361631444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46676710080).

31361631444 is an abundant number, since it is smaller than the sum of its proper divisors (61991788716).

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

31361631444 is a wasteful number, since it uses less digits than its factorization.

31361631444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14350 (or 14345 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The spelling of 31361631444 in words is "thirty-one billion, three hundred sixty-one million, six hundred thirty-one thousand, four hundred forty-four".