8113958400 has 240 divisors, whose sum is σ = 27972388224. Its totient is φ = 2069422080.

The previous prime is 8113958389. The next prime is 8113958431. The reversal of 8113958400 is 48593118.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 878607 + ... + 887793.

Almost surely, 2^8113958400 is an apocalyptic number.

8113958400 is a gapful number since it is divisible by the number (80) 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 8113958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13986194112).

8113958400 is an abundant number, since it is smaller than the sum of its proper divisors (19858429824).

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

8113958400 is a wasteful number, since it uses less digits than its factorization.

8113958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9241 (or 9220 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 8113958400 is about 90077.5132871684. The cubic root of 8113958400 is about 2009.4517947555.

The spelling of 8113958400 in words is "eight billion, one hundred thirteen million, nine hundred fifty-eight thousand, four hundred".