116129448 has 72 divisors (see below), whose sum is σ = 334166430. Its totient is φ = 36426240.

The previous prime is 116129423. The next prime is 116129459. The reversal of 116129448 is 844921611.

It can be written as a sum of positive squares in 3 ways, for example, as 111894084 + 4235364 = 10578^2 + 2058^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18018 + ... + 23598.

Almost surely, 2^116129448 is an apocalyptic number.

116129448 is a gapful number since it is divisible by the number (18) 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 116129448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167083215).

116129448 is an abundant number, since it is smaller than the sum of its proper divisors (218036982).

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

116129448 is a wasteful number, since it uses less digits than its factorization.

116129448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5627 (or 5603 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 116129448 is about 10776.3374111987. The cubic root of 116129448 is about 487.8812418175.

The spelling of 116129448 in words is "one hundred sixteen million, one hundred twenty-nine thousand, four hundred forty-eight".