162821998800864 has 1920 divisors, whose sum is σ = 584147528616960. Its totient is φ = 43995798798336.

The previous prime is 162821998800863. The next prime is 162821998800949. The reversal of 162821998800864 is 468008899128261.

162821998800864 is a `hidden beast` number, since 1 + 6 + 282 + 199 + 8 + 80 + 0 + 86 + 4 = 666.

It is a super-2 number, since 2×162821998800864² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 162821998800792 and 162821998800801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162821998800863) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 86745869494 + ... + 86745871370.

It is an arithmetic number, because the mean of its divisors is an integer number (304243504488).

Almost surely, 2^{162821998800864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162821998800864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292073764308480).

162821998800864 is an abundant number, since it is smaller than the sum of its proper divisors (421325529816096).

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

162821998800864 is a wasteful number, since it uses less digits than its factorization.

162821998800864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 72.

The spelling of 162821998800864 in words is "one hundred sixty-two trillion, eight hundred twenty-one billion, nine hundred ninety-eight million, eight hundred thousand, eight hundred sixty-four".