162802566144 has 231 divisors, whose sum is σ = 488993093647. Its totient is φ = 54151317504.

The previous prime is 162802566107. The next prime is 162802566151. The reversal of 162802566144 is 441665208261.

It is a happy number.

The square root of 162802566144 is 403488.

It is a perfect power (a square), and thus also a powerful number.

162802566144 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 0 + 25 + 6 + 614 + 4 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 162802566144.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 348613399 + ... + 348613865.

Almost surely, 2^162802566144 is an apocalyptic number.

162802566144 is the 403488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162802566144

162802566144 is an abundant number, since it is smaller than the sum of its proper divisors (326190527503).

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

162802566144 is an frugal number, since it uses more digits than its factorization.

162802566144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 162802566144 in words is "one hundred sixty-two billion, eight hundred two million, five hundred sixty-six thousand, one hundred forty-four".