10415018916 has 81 divisors (see below), whose sum is σ = 26807486979. Its totient is φ = 3409420032.

The previous prime is 10415018879. The next prime is 10415018981. The reversal of 10415018916 is 61981051401.

It is a happy number.

The square root of 10415018916 is 102054.

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 637764516 + 9777254400 = 25254^2 + 98880^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44699536 + ... + 44699768.

Almost surely, 2^10415018916 is an apocalyptic number.

10415018916 is the 102054-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10415018916

10415018916 is an abundant number, since it is smaller than the sum of its proper divisors (16392468063).

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

10415018916 is an equidigital number, since it uses as much as digits as its factorization.

10415018916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

Multiplying 10415018916 by its sum of digits (36), we get a square (374940680976 = 612324²).

10415018916 divided by its sum of digits (36) gives a square (289306081 = 17009²).

The spelling of 10415018916 in words is "ten billion, four hundred fifteen million, eighteen thousand, nine hundred sixteen".