8829774144 has 224 divisors, whose sum is σ = 26966753280. Its totient is φ = 2830118400.

The previous prime is 8829774137. The next prime is 8829774167. The reversal of 8829774144 is 4414779288.

It is a super-2 number, since 2×8829774144² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10231057 + ... + 10231919.

Almost surely, 2^8829774144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8829774144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13483376640).

8829774144 is an abundant number, since it is smaller than the sum of its proper divisors (18136979136).

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

8829774144 is a wasteful number, since it uses less digits than its factorization.

8829774144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1090 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 8829774144 is about 93966.8779091867. The cubic root of 8829774144 is about 2066.8860383621.

The spelling of 8829774144 in words is "eight billion, eight hundred twenty-nine million, seven hundred seventy-four thousand, one hundred forty-four".