800112530448 has 480 divisors, whose sum is σ = 2947271184000. Its totient is φ = 205481041920.

The previous prime is 800112530423. The next prime is 800112530509. The reversal of 800112530448 is 844035211008.

800112530448 is a `hidden beast` number, since 8 + 0 + 0 + 112 + 530 + 4 + 4 + 8 = 666.

It is a super-2 number, since 2×800112530448² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20704168 + ... + 20742776.

It is an arithmetic number, because the mean of its divisors is an integer number (6140148300).

Almost surely, 2^800112530448 is an apocalyptic number.

800112530448 is a gapful number since it is divisible by the number (88) 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 800112530448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473635592000).

800112530448 is an abundant number, since it is smaller than the sum of its proper divisors (2147158653552).

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

800112530448 is a wasteful number, since it uses less digits than its factorization.

800112530448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38740 (or 38721 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 800112530448 in words is "eight hundred billion, one hundred twelve million, five hundred thirty thousand, four hundred forty-eight".