162360345840 has 960 divisors, whose sum is σ = 672810270720. Its totient is φ = 31614105600.

The previous prime is 162360345827. The next prime is 162360345869. The reversal of 162360345840 is 48543063261.

162360345840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 162360345792 and 162360345801.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 490514475 + ... + 490514805.

It is an arithmetic number, because the mean of its divisors is an integer number (700844032).

Almost surely, 2^162360345840 is an apocalyptic number.

162360345840 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 162360345840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336405135360).

162360345840 is an abundant number, since it is smaller than the sum of its proper divisors (510449924880).

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

162360345840 is a wasteful number, since it uses less digits than its factorization.

162360345840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 162360345840 in words is "one hundred sixty-two billion, three hundred sixty million, three hundred forty-five thousand, eight hundred forty".