162123223680 has 768 divisors, whose sum is σ = 640529285760. Its totient is φ = 38857605120.

The previous prime is 162123223663. The next prime is 162123223721. The reversal of 162123223680 is 86322321261.

162123223680 is a `hidden beast` number, since 1 + 62 + 1 + 232 + 2 + 368 + 0 = 666.

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, 165939352 + ... + 165940328.

Almost surely, 2^162123223680 is an apocalyptic number.

162123223680 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 162123223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320264642880).

162123223680 is an abundant number, since it is smaller than the sum of its proper divisors (478406062080).

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

162123223680 is an equidigital number, since it uses as much as digits as its factorization.

162123223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 162123223680 in words is "one hundred sixty-two billion, one hundred twenty-three million, two hundred twenty-three thousand, six hundred eighty".