162268323840 has 1344 divisors, whose sum is σ = 711029539584. Its totient is φ = 34653339648.

The previous prime is 162268323821. The next prime is 162268323851. The reversal of 162268323840 is 48323862261.

162268323840 is a `hidden beast` number, since 1 + 6 + 2 + 268 + 3 + 2 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×162268323840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1184440252 + ... + 1184440388.

It is an arithmetic number, because the mean of its divisors is an integer number (529039836).

Almost surely, 2^162268323840 is an apocalyptic number.

162268323840 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 162268323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355514769792).

162268323840 is an abundant number, since it is smaller than the sum of its proper divisors (548761215744).

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

162268323840 is an equidigital number, since it uses as much as digits as its factorization.

162268323840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 162268323840 in words is "one hundred sixty-two billion, two hundred sixty-eight million, three hundred twenty-three thousand, eight hundred forty".