8148940800 has 1152 divisors, whose sum is σ = 36852641280. Its totient is φ = 1533542400.

The previous prime is 8148940783. The next prime is 8148940801. The reversal of 8148940800 is 80498418.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8148940801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153753574 + ... + 153753626.

It is an arithmetic number, because the mean of its divisors is an integer number (31990140).

Almost surely, 2^8148940800 is an apocalyptic number.

8148940800 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 8148940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18426320640).

8148940800 is an abundant number, since it is smaller than the sum of its proper divisors (28703700480).

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

8148940800 is a wasteful number, since it uses less digits than its factorization.

8148940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 8148940800 is about 90271.4838694923. The cubic root of 8148940800 is about 2012.3354947000.

The spelling of 8148940800 in words is "eight billion, one hundred forty-eight million, nine hundred forty thousand, eight hundred".