162076324046400 has 567 divisors, whose sum is σ = 579658118803491. Its totient is φ = 42951883438080.

The previous prime is 162076324046363. The next prime is 162076324046401. The reversal of 162076324046400 is 4640423670261.

The square root of 162076324046400 is 12730920.

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

162076324046400 is a `hidden beast` number, since 1 + 6 + 2 + 0 + 7 + 632 + 4 + 0 + 4 + 6 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37140443735616 + 124935880310784 = 6094296^2 + 11177472^2 .

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

It is not an unprimeable number, because it can be changed into a prime (162076324046401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 423175780609 + ... + 423175780991.

Almost surely, 2^{162076324046400} is an apocalyptic number.

162076324046400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

162076324046400 is the 12730920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162076324046400

162076324046400 is an abundant number, since it is smaller than the sum of its proper divisors (417581794757091).

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

162076324046400 is an frugal number, since it uses more digits than its factorization.

162076324046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 162076324046400 in words is "one hundred sixty-two trillion, seventy-six billion, three hundred twenty-four million, forty-six thousand, four hundred".