10118774016 has 180 divisors, whose sum is σ = 32494169092. Its totient is φ = 3113385984.

The previous prime is 10118774011. The next prime is 10118774117. The reversal of 10118774016 is 61047781101.

It can be written as a sum of positive squares in 2 ways, for example, as 2777711616 + 7341062400 = 52704^2 + 85680^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10118774011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 250800 + ... + 288336.

Almost surely, 2^10118774016 is an apocalyptic number.

10118774016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10118774016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16247084546).

10118774016 is an abundant number, since it is smaller than the sum of its proper divisors (22375395076).

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

10118774016 is an equidigital number, since it uses as much as digits as its factorization.

10118774016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37578 (or 37555 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

The spelling of 10118774016 in words is "ten billion, one hundred eighteen million, seven hundred seventy-four thousand, sixteen".