10608966144 has 320 divisors, whose sum is σ = 38006496000. Its totient is φ = 2852388864.

The previous prime is 10608966139. The next prime is 10608966157. The reversal of 10608966144 is 44166980601.

It is a super-2 number, since 2×10608966144² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10608966144.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1641832 + ... + 1648280.

It is an arithmetic number, because the mean of its divisors is an integer number (118770300).

Almost surely, 2^10608966144 is an apocalyptic number.

10608966144 is a gapful number since it is divisible by the number (14) 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 10608966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19003248000).

10608966144 is an abundant number, since it is smaller than the sum of its proper divisors (27397529856).

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

10608966144 is an equidigital number, since it uses as much as digits as its factorization.

10608966144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6500 (or 6478 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 10608966144 in words is "ten billion, six hundred eight million, nine hundred sixty-six thousand, one hundred forty-four".