31146444 has 120 divisors (see below), whose sum is σ = 96273408. Its totient is φ = 8592480.

The previous prime is 31146433. The next prime is 31146449. The reversal of 31146444 is 44464113.

31146444 is a `hidden beast` number, since 3 + 1 + 14 + 644 + 4 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31146449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70087 + ... + 70529.

Almost surely, 2^31146444 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 31146444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48136704).

31146444 is an abundant number, since it is smaller than the sum of its proper divisors (65126964).

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

31146444 is a wasteful number, since it uses less digits than its factorization.

31146444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 486 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 31146444 is about 5580.8999274311. The cubic root of 31146444 is about 314.6319510881.

The spelling of 31146444 in words is "thirty-one million, one hundred forty-six thousand, four hundred forty-four".