162800499456 has 288 divisors, whose sum is σ = 582573358080. Its totient is φ = 43778064384.

The previous prime is 162800499427. The next prime is 162800499457. The reversal of 162800499456 is 654994008261.

162800499456 is a `hidden beast` number, since 1 + 628 + 0 + 0 + 4 + 9 + 9 + 4 + 5 + 6 = 666.

162800499456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (162800499457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 723565 + ... + 921491.

It is an arithmetic number, because the mean of its divisors is an integer number (2022824160).

Almost surely, 2^162800499456 is an apocalyptic number.

162800499456 is a gapful number since it is divisible by the number (16) 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 162800499456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291286679040).

162800499456 is an abundant number, since it is smaller than the sum of its proper divisors (419772858624).

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

162800499456 is a wasteful number, since it uses less digits than its factorization.

162800499456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197976 (or 197956 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 162800499456 in words is "one hundred sixty-two billion, eight hundred million, four hundred ninety-nine thousand, four hundred fifty-six".