10648650096 has 200 divisors, whose sum is σ = 35396476544. Its totient is φ = 3027507840.

The previous prime is 10648650091. The next prime is 10648650097. The reversal of 10648650096 is 69005684601.

10648650096 is a `hidden beast` number, since 1 + 0 + 64 + 86 + 500 + 9 + 6 = 666.

It is a super-4 number, since 4×10648650096⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10648650091) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1911411 + ... + 1916973.

Almost surely, 2^10648650096 is an apocalyptic number.

10648650096 is a gapful number since it is divisible by the number (16) 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 10648650096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17698238272).

10648650096 is an abundant number, since it is smaller than the sum of its proper divisors (24747826448).

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

10648650096 is a wasteful number, since it uses less digits than its factorization.

10648650096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5801 (or 5786 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10648650096 in words is "ten billion, six hundred forty-eight million, six hundred fifty thousand, ninety-six".