10348585984 has 165 divisors, whose sum is σ = 24159825991. Its totient is φ = 4427202560.

The previous prime is 10348585957. The next prime is 10348586023. The reversal of 10348585984 is 48958584301.

It is a happy number.

The square root of 10348585984 is 101728.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 3211715584 + 7136870400 = 56672^2 + 84480^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 608740344 + ... + 608740360.

Almost surely, 2^10348585984 is an apocalyptic number.

10348585984 is the 101728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10348585984

10348585984 is an abundant number, since it is smaller than the sum of its proper divisors (13811240007).

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

10348585984 is an frugal number, since it uses more digits than its factorization.

10348585984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 55.

The spelling of 10348585984 in words is "ten billion, three hundred forty-eight million, five hundred eighty-five thousand, nine hundred eighty-four".