10683630144 has 504 divisors, whose sum is σ = 36426184704. Its totient is φ = 2980454400.

The previous prime is 10683630119. The next prime is 10683630173. The reversal of 10683630144 is 44103638601.

It is a happy number.

10683630144 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 3 + 630 + 14 + 4 = 666.

It is a super-2 number, since 2×10683630144² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10683630099 and 10683630108.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84123009 + ... + 84123135.

It is an arithmetic number, because the mean of its divisors is an integer number (72274176).

Almost surely, 2^10683630144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10683630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18213092352).

10683630144 is an abundant number, since it is smaller than the sum of its proper divisors (25742554560).

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

10683630144 is a wasteful number, since it uses less digits than its factorization.

10683630144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10683630144 in words is "ten billion, six hundred eighty-three million, six hundred thirty thousand, one hundred forty-four".