10325403648 has 288 divisors, whose sum is σ = 34547385600. Its totient is φ = 2909896704.

The previous prime is 10325403563. The next prime is 10325403677. The reversal of 10325403648 is 84630452301.

10325403648 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 5 + 4 + 0 + 3 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10325403648² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10192390 + ... + 10193402.

It is an arithmetic number, because the mean of its divisors is an integer number (119956200).

Almost surely, 2^10325403648 is an apocalyptic number.

10325403648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10325403648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17273692800).

10325403648 is an abundant number, since it is smaller than the sum of its proper divisors (24221981952).

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

10325403648 is a wasteful number, since it uses less digits than its factorization.

10325403648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 10325403648 its reverse (84630452301), we get a palindrome (94955855949).

The spelling of 10325403648 in words is "ten billion, three hundred twenty-five million, four hundred three thousand, six hundred forty-eight".