10011001344 has 320 divisors, whose sum is σ = 29980938240. Its totient is φ = 2952069120.

The previous prime is 10011001339. The next prime is 10011001369. The reversal of 10011001344 is 44310011001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47445399 + ... + 47445609.

It is an arithmetic number, because the mean of its divisors is an integer number (93690432).

Almost surely, 2^10011001344 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 10011001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14990469120).

10011001344 is an abundant number, since it is smaller than the sum of its proper divisors (19969936896).

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

10011001344 is a wasteful number, since it uses less digits than its factorization.

10011001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10011001344 its reverse (44310011001), we get a palindrome (54321012345).

The spelling of 10011001344 in words is "ten billion, eleven million, one thousand, three hundred forty-four".