162465966432 has 1152 divisors, whose sum is σ = 627557414400. Its totient is φ = 40915445760.

The previous prime is 162465966431. The next prime is 162465966451. The reversal of 162465966432 is 234669564261.

162465966432 is a `hidden beast` number, since 1 + 6 + 2 + 4 + 6 + 596 + 6 + 43 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162465966431) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2225561148 + ... + 2225561220.

It is an arithmetic number, because the mean of its divisors is an integer number (544754700).

Almost surely, 2^162465966432 is an apocalyptic number.

162465966432 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 162465966432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313778707200).

162465966432 is an abundant number, since it is smaller than the sum of its proper divisors (465091447968).

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

162465966432 is an equidigital number, since it uses as much as digits as its factorization.

162465966432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 155 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 162465966432 in words is "one hundred sixty-two billion, four hundred sixty-five million, nine hundred sixty-six thousand, four hundred thirty-two".