10116241804816 has 135 divisors (see below), whose sum is σ = 23619610740999. Its totient is φ = 4184962408704.

The previous prime is 10116241804793. The next prime is 10116241804817. The reversal of 10116241804816 is 61840814261101.

The square root of 10116241804816 is 3180604.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1245947088400 + 8870294716416 = 1116220^2 + 2978304^2 .

It is not an unprimeable number, because it can be changed into a prime (10116241804817) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2582648490 + ... + 2582652406.

Almost surely, 2^{10116241804816} is an apocalyptic number.

10116241804816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10116241804816 is the 3180604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10116241804816

10116241804816 is an abundant number, since it is smaller than the sum of its proper divisors (13503368936183).

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

10116241804816 is an frugal number, since it uses more digits than its factorization.

10116241804816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7914 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 43.

The spelling of 10116241804816 in words is "ten trillion, one hundred sixteen billion, two hundred forty-one million, eight hundred four thousand, eight hundred sixteen".