10835352648 has 96 divisors (see below), whose sum is σ = 29965515840. Its totient is φ = 3535808640.

The previous prime is 10835352607. The next prime is 10835352707. The reversal of 10835352648 is 84625353801.

10835352648 is a `hidden beast` number, since 1 + 0 + 83 + 5 + 3 + 526 + 48 = 666.

It is a Cunningham number, because it is equal to 104093²-1.

It is a super-2 number, since 2×10835352648² (a number of 21 digits) contains 22 as substring.

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, 1870765 + ... + 1876547.

It is an arithmetic number, because the mean of its divisors is an integer number (312140790).

Almost surely, 2^10835352648 is an apocalyptic number.

10835352648 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 10835352648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14982757920).

10835352648 is an abundant number, since it is smaller than the sum of its proper divisors (19130163192).

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

10835352648 is a wasteful number, since it uses less digits than its factorization.

10835352648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6339 (or 6332 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 10835352648 in words is "ten billion, eight hundred thirty-five million, three hundred fifty-two thousand, six hundred forty-eight".