10144116416 has 84 divisors (see below), whose sum is σ = 24648795000. Its totient is φ = 4118639616.

The previous prime is 10144116413. The next prime is 10144116487. The reversal of 10144116416 is 61461144101.

It is a super-2 number, since 2×10144116416² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10144116413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25541 + ... + 144708.

Almost surely, 2^10144116416 is an apocalyptic number.

10144116416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10144116416 is an abundant number, since it is smaller than the sum of its proper divisors (14504678584).

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

10144116416 is a wasteful number, since it uses less digits than its factorization.

10144116416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170294 (or 170277 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 10144116416 in words is "ten billion, one hundred forty-four million, one hundred sixteen thousand, four hundred sixteen".