10668480144 has 40 divisors (see below), whose sum is σ = 31497418560. Its totient is φ = 3048137088.

The previous prime is 10668480143. The next prime is 10668480157. The reversal of 10668480144 is 44108486601.

It is a super-2 number, since 2×10668480144² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10668480096 and 10668480105.

It is not an unprimeable number, because it can be changed into a prime (10668480143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15875379 + ... + 15876050.

It is an arithmetic number, because the mean of its divisors is an integer number (787435464).

Almost surely, 2^10668480144 is an apocalyptic number.

10668480144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10668480144 is an abundant number, since it is smaller than the sum of its proper divisors (20828938416).

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

10668480144 is a wasteful number, since it uses less digits than its factorization.

10668480144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31751447 (or 31751441 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 10668480144 in words is "ten billion, six hundred sixty-eight million, four hundred eighty thousand, one hundred forty-four".