8081049600 has 864 divisors, whose sum is σ = 33269745600. Its totient is φ = 1857945600.

The previous prime is 8081049583. The next prime is 8081049601. The reversal of 8081049600 is 69401808.

It is a happy number.

8081049600 is a `hidden beast` number, since 8 + 0 + 8 + 1 + 0 + 49 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8081049601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 113817565 + ... + 113817635.

It is an arithmetic number, because the mean of its divisors is an integer number (38506650).

Almost surely, 2^8081049600 is an apocalyptic number.

8081049600 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 8081049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16634872800).

8081049600 is an abundant number, since it is smaller than the sum of its proper divisors (25188696000).

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

8081049600 is a wasteful number, since it uses less digits than its factorization.

8081049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 113 counting only the distinct ones).

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

The square root of 8081049600 is about 89894.6583507608. The cubic root of 8081049600 is about 2006.7314516942.

The spelling of 8081049600 in words is "eight billion, eighty-one million, forty-nine thousand, six hundred".