162338432256 has 1512 divisors, whose sum is σ = 665580688640. Its totient is φ = 38429614080.

The previous prime is 162338432239. The next prime is 162338432273. The reversal of 162338432256 is 652234833261.

162338432256 is a `hidden beast` number, since 1 + 62 + 338 + 4 + 3 + 2 + 256 = 666.

It is an interprime number because it is at equal distance from previous prime (162338432239) and next prime (162338432273).

It is a tau number, because it is divible by the number of its divisors (1512).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2054916825 + ... + 2054916903.

Almost surely, 2^162338432256 is an apocalyptic number.

162338432256 is a gapful number since it is divisible by the number (16) 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 162338432256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332790344320).

162338432256 is an abundant number, since it is smaller than the sum of its proper divisors (503242256384).

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

162338432256 is an equidigital number, since it uses as much as digits as its factorization.

162338432256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 115 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 162338432256 in words is "one hundred sixty-two billion, three hundred thirty-eight million, four hundred thirty-two thousand, two hundred fifty-six".