162804019986432 has 1920 divisors, whose sum is σ = 565788749137920. Its totient is φ = 46253927301120.

The previous prime is 162804019986407. The next prime is 162804019986469. The reversal of 162804019986432 is 234689910408261.

162804019986432 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 0 + 4 + 0 + 199 + 8 + 6 + 432 = 666.

It is a super-2 number, since 2×162804019986432² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 162804019986432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1281921417153 + ... + 1281921417279.

It is an arithmetic number, because the mean of its divisors is an integer number (294681640176).

Almost surely, 2^{162804019986432} is an apocalyptic number.

162804019986432 is a gapful number since it is divisible by the number (12) 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 162804019986432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282894374568960).

162804019986432 is an abundant number, since it is smaller than the sum of its proper divisors (402984729151488).

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

162804019986432 is an equidigital number, since it uses as much as digits as its factorization.

162804019986432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 162804019986432 in words is "one hundred sixty-two trillion, eight hundred four billion, nineteen million, nine hundred eighty-six thousand, four hundred thirty-two".