808493180160 has 576 divisors, whose sum is σ = 2810320128000. Its totient is φ = 197433262080.

The previous prime is 808493180113. The next prime is 808493180167. The reversal of 808493180160 is 61081394808.

808493180160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×808493180160² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808493180167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 262581501 + ... + 262584579.

It is an arithmetic number, because the mean of its divisors is an integer number (4879028000).

Almost surely, 2^808493180160 is an apocalyptic number.

808493180160 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 808493180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405160064000).

808493180160 is an abundant number, since it is smaller than the sum of its proper divisors (2001826947840).

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

808493180160 is a wasteful number, since it uses less digits than its factorization.

808493180160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 808493180160 in words is "eight hundred eight billion, four hundred ninety-three million, one hundred eighty thousand, one hundred sixty".