162304000000 has 224 divisors, whose sum is σ = 407028579030. Its totient is φ = 64716800000.

The previous prime is 162303999947. The next prime is 162304000037. The reversal of 162304000000 is 403261.

It can be written as a sum of positive squares in 7 ways, for example, as 127809110016 + 34494889984 = 357504^2 + 185728^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 511999842 + ... + 512000158.

Almost surely, 2^162304000000 is an apocalyptic number.

162304000000 is a gapful number since it is divisible by the number (10) 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 162304000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203514289515).

162304000000 is an abundant number, since it is smaller than the sum of its proper divisors (244724579030).

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

162304000000 is an frugal number, since it uses more digits than its factorization.

162304000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 162304000000 its reverse (403261), we get a palindrome (162304403261).

It can be divided in two parts, 16 and 2304000000, that multiplied together give a square (36864000000 = 192000²).

The spelling of 162304000000 in words is "one hundred sixty-two billion, three hundred four million", and thus it is an aban number.