31045523004 has 288 divisors, whose sum is σ = 88310476800. Its totient is φ = 9157800960.

The previous prime is 31045522979. The next prime is 31045523011. The reversal of 31045523004 is 40032554013.

31045523004 is a `hidden beast` number, since 3 + 104 + 552 + 3 + 0 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133242472 + ... + 133242704.

It is an arithmetic number, because the mean of its divisors is an integer number (306633600).

Almost surely, 2^31045523004 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 31045523004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44155238400).

31045523004 is an abundant number, since it is smaller than the sum of its proper divisors (57264953796).

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

31045523004 is a wasteful number, since it uses less digits than its factorization.

31045523004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 31045523004 in words is "thirty-one billion, forty-five million, five hundred twenty-three thousand, four".