162542065392 has 480 divisors, whose sum is σ = 568751216640. Its totient is φ = 44259747840.

The previous prime is 162542065327. The next prime is 162542065417. The reversal of 162542065392 is 293560245261.

162542065392 is a `hidden beast` number, since 1 + 6 + 2 + 54 + 206 + 5 + 392 = 666.

It is a super-2 number, since 2×162542065392² (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 43964088 + ... + 43967784.

It is an arithmetic number, because the mean of its divisors is an integer number (1184898368).

Almost surely, 2^162542065392 is an apocalyptic number.

162542065392 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 162542065392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284375608320).

162542065392 is an abundant number, since it is smaller than the sum of its proper divisors (406209151248).

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

162542065392 is a wasteful number, since it uses less digits than its factorization.

162542065392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 162542065392 in words is "one hundred sixty-two billion, five hundred forty-two million, sixty-five thousand, three hundred ninety-two".