8045958144 has 176 divisors, whose sum is σ = 24611948928. Its totient is φ = 2289205248.

The previous prime is 8045958113. The next prime is 8045958161. The reversal of 8045958144 is 4418595408.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 8045958093 and 8045958102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6300034 + ... + 6301310.

Almost surely, 2^8045958144 is an apocalyptic number.

8045958144 is a gapful number since it is divisible by the number (84) 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 8045958144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12305974464).

8045958144 is an abundant number, since it is smaller than the sum of its proper divisors (16565990784).

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

8045958144 is a wasteful number, since it uses less digits than its factorization.

8045958144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The square root of 8045958144 is about 89699.2650137112. The cubic root of 8045958144 is about 2003.8225347927.

The spelling of 8045958144 in words is "eight billion, forty-five million, nine hundred fifty-eight thousand, one hundred forty-four".