162414663840 has 384 divisors, whose sum is σ = 667833465600. Its totient is φ = 36344401920.

The previous prime is 162414663811. The next prime is 162414663863. The reversal of 162414663840 is 48366414261.

162414663840 is a `hidden beast` number, since 1 + 6 + 2 + 4 + 1 + 4 + 6 + 638 + 4 + 0 = 666.

162414663840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×162414663840³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 486306 + ... + 749214.

It is an arithmetic number, because the mean of its divisors is an integer number (1739149650).

Almost surely, 2^162414663840 is an apocalyptic number.

162414663840 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 162414663840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333916732800).

162414663840 is an abundant number, since it is smaller than the sum of its proper divisors (505418801760).

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

162414663840 is a wasteful number, since it uses less digits than its factorization.

162414663840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262957 (or 262943 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 162414663840 in words is "one hundred sixty-two billion, four hundred fourteen million, six hundred sixty-three thousand, eight hundred forty".