10466869248 has 360 divisors, whose sum is σ = 34350301440. Its totient is φ = 3158507520.

The previous prime is 10466869241. The next prime is 10466869253. The reversal of 10466869248 is 84296866401.

10466869248 is a `hidden beast` number, since 10 + 466 + 86 + 92 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10466869194 and 10466869203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10466869241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43794313 + ... + 43794551.

It is an arithmetic number, because the mean of its divisors is an integer number (95417504).

Almost surely, 2^10466869248 is an apocalyptic number.

10466869248 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 10466869248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17175150720).

10466869248 is an abundant number, since it is smaller than the sum of its proper divisors (23883432192).

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

10466869248 is an frugal number, since it uses more digits than its factorization.

10466869248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 10466869248 in words is "ten billion, four hundred sixty-six million, eight hundred sixty-nine thousand, two hundred forty-eight".