10582648384 has 189 divisors, whose sum is σ = 27012914859. Its totient is φ = 4098420480.

The previous prime is 10582648337. The next prime is 10582648387. The reversal of 10582648384 is 48384628501.

The square root of 10582648384 is 102872.

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

It is a super-2 number, since 2×10582648384² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (10582648387) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 63369069 + ... + 63369235.

Almost surely, 2^10582648384 is an apocalyptic number.

10582648384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10582648384 is the 102872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10582648384

10582648384 is an abundant number, since it is smaller than the sum of its proper divisors (16430266475).

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

10582648384 is an equidigital number, since it uses as much as digits as its factorization.

10582648384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

Multiplying 10582648384 by its sum of digits (49), we get a square (518549770816 = 720104²).

10582648384 divided by its sum of digits (49) gives a square (215972416 = 14696²).

The spelling of 10582648384 in words is "ten billion, five hundred eighty-two million, six hundred forty-eight thousand, three hundred eighty-four".