10929321648 has 240 divisors, whose sum is σ = 35881185600. Its totient is φ = 3040966656.

The previous prime is 10929321647. The next prime is 10929321649. The reversal of 10929321648 is 84612392901.

10929321648 is a `hidden beast` number, since 109 + 293 + 216 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (10929321647) and next prime (10929321649).

It is not an unprimeable number, because it can be changed into a prime (10929321647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7959490 + ... + 7960862.

It is an arithmetic number, because the mean of its divisors is an integer number (149504940).

Almost surely, 2^10929321648 is an apocalyptic number.

10929321648 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 10929321648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17940592800).

10929321648 is an abundant number, since it is smaller than the sum of its proper divisors (24951863952).

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

10929321648 is a wasteful number, since it uses less digits than its factorization.

10929321648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10929321648 in words is "ten billion, nine hundred twenty-nine million, three hundred twenty-one thousand, six hundred forty-eight".