10361824116 has 192 divisors, whose sum is σ = 30466867200. Its totient is φ = 2672486784.

The previous prime is 10361824111. The next prime is 10361824127. The reversal of 10361824116 is 61142816301.

It is a super-3 number, since 3×10361824116³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10361824111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16114491 + ... + 16115133.

It is an arithmetic number, because the mean of its divisors is an integer number (158681600).

Almost surely, 2^10361824116 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 10361824116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15233433600).

10361824116 is an abundant number, since it is smaller than the sum of its proper divisors (20105043084).

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

10361824116 is a wasteful number, since it uses less digits than its factorization.

10361824116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 10361824116 in words is "ten billion, three hundred sixty-one million, eight hundred twenty-four thousand, one hundred sixteen".