162204616512 has 168 divisors, whose sum is σ = 476138995904. Its totient is φ = 52766816256.

The previous prime is 162204616507. The next prime is 162204616517. The reversal of 162204616512 is 215616402261.

162204616512 is a `hidden beast` number, since 1 + 6 + 2 + 20 + 4 + 616 + 5 + 12 = 666.

162204616512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (162204616507) and next prime (162204616517).

It is a super-2 number, since 2×162204616512² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162204616517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44159508 + ... + 44163180.

Almost surely, 2^162204616512 is an apocalyptic number.

162204616512 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 162204616512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238069497952).

162204616512 is an abundant number, since it is smaller than the sum of its proper divisors (313934379392).

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

162204616512 is a wasteful number, since it uses less digits than its factorization.

162204616512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5517 (or 5504 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 162204616512 in words is "one hundred sixty-two billion, two hundred four million, six hundred sixteen thousand, five hundred twelve".