162244146960 has 1200 divisors, whose sum is σ = 691626304512. Its totient is φ = 35097753600.

The previous prime is 162244146949. The next prime is 162244146983. The reversal of 162244146960 is 69641442261.

162244146960 is a `hidden beast` number, since 1 + 6 + 224 + 414 + 6 + 9 + 6 + 0 = 666.

162244146960 is digitally balanced in base 3, 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 521685205 + ... + 521685515.

Almost surely, 2^162244146960 is an apocalyptic number.

162244146960 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 162244146960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345813152256).

162244146960 is an abundant number, since it is smaller than the sum of its proper divisors (529382157552).

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

162244146960 is a wasteful number, since it uses less digits than its factorization.

162244146960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 162244146960 in words is "one hundred sixty-two billion, two hundred forty-four million, one hundred forty-six thousand, nine hundred sixty".