162048493831680 has 960 divisors, whose sum is σ = 617908192469568. Its totient is φ = 40560969646080.

The previous prime is 162048493831669. The next prime is 162048493831709. The reversal of 162048493831680 is 86138394840261.

162048493831680 is a `hidden beast` number, since 1 + 6 + 2 + 0 + 4 + 8 + 493 + 83 + 1 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3944588740 + ... + 3944629820.

Almost surely, 2^{162048493831680} is an apocalyptic number.

162048493831680 is a gapful number since it is divisible by the number (10) 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 162048493831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308954096234784).

162048493831680 is an abundant number, since it is smaller than the sum of its proper divisors (455859698637888).

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

162048493831680 is an equidigital number, since it uses as much as digits as its factorization.

162048493831680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41509 (or 41481 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 162048493831680 in words is "one hundred sixty-two trillion, forty-eight billion, four hundred ninety-three million, eight hundred thirty-one thousand, six hundred eighty".