10009125817464 has 512 divisors, whose sum is σ = 28998300672000. Its totient is φ = 2862666842112.

The previous prime is 10009125817433. The next prime is 10009125817541. The reversal of 10009125817464 is 46471852190001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1942385512 + ... + 1942390664.

It is an arithmetic number, because the mean of its divisors is an integer number (56637306000).

Almost surely, 2^{10009125817464} 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 10009125817464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14499150336000).

10009125817464 is an abundant number, since it is smaller than the sum of its proper divisors (18989174854536).

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

10009125817464 is a wasteful number, since it uses less digits than its factorization.

10009125817464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5379 (or 5375 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 10009125817464 in words is "ten trillion, nine billion, one hundred twenty-five million, eight hundred seventeen thousand, four hundred sixty-four".