31025826468 has 432 divisors, whose sum is σ = 102550916160. Its totient is φ = 8083805184.

The previous prime is 31025826463. The next prime is 31025826473. The reversal of 31025826468 is 86462852013.

31025826468 is a `hidden beast` number, since 3 + 1 + 0 + 2 + 582 + 6 + 4 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (31025826463) and next prime (31025826473).

It is not an unprimeable number, because it can be changed into a prime (31025826463) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 101061171 + ... + 101061477.

It is an arithmetic number, because the mean of its divisors is an integer number (237386380).

Almost surely, 2^31025826468 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 31025826468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51275458080).

31025826468 is an abundant number, since it is smaller than the sum of its proper divisors (71525089692).

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

31025826468 is a wasteful number, since it uses less digits than its factorization.

31025826468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 31025826468 in words is "thirty-one billion, twenty-five million, eight hundred twenty-six thousand, four hundred sixty-eight".