162216474055200 has 4032 divisors, whose sum is σ = 669266644193280. Its totient is φ = 38219102208000.

The previous prime is 162216474055193. The next prime is 162216474055381. The reversal of 162216474055200 is 2550474612261.

162216474055200 is a `hidden beast` number, since 1 + 6 + 2 + 2 + 16 + 47 + 40 + 552 + 0 + 0 = 666.

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 671 ways as a sum of consecutive naturals, for example, 1516041813547 + ... + 1516041813653.

It is an arithmetic number, because the mean of its divisors is an integer number (165988751040).

Almost surely, 2^{162216474055200} is an apocalyptic number.

162216474055200 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 162216474055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334633322096640).

162216474055200 is an abundant number, since it is smaller than the sum of its proper divisors (507050170138080).

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

162216474055200 is a wasteful number, since it uses less digits than its factorization.

162216474055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 162216474055200 in words is "one hundred sixty-two trillion, two hundred sixteen billion, four hundred seventy-four million, fifty-five thousand, two hundred".