162041311296 has 336 divisors, whose sum is σ = 507749860800. Its totient is φ = 51159693312.

The previous prime is 162041311253. The next prime is 162041311307. The reversal of 162041311296 is 692113140261.

It is a happy number.

162041311296 is a `hidden beast` number, since 1 + 620 + 4 + 1 + 3 + 1 + 1 + 29 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 162041311296.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23900035 + ... + 23906813.

It is an arithmetic number, because the mean of its divisors is an integer number (1511160300).

Almost surely, 2^162041311296 is an apocalyptic number.

162041311296 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 162041311296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253874930400).

162041311296 is an abundant number, since it is smaller than the sum of its proper divisors (345708549504).

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

162041311296 is an equidigital number, since it uses as much as digits as its factorization.

162041311296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6888 (or 6866 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 162041311296 in words is "one hundred sixty-two billion, forty-one million, three hundred eleven thousand, two hundred ninety-six".