216001174501728 has 1440 divisors, whose sum is σ = 847728875347200. Its totient is φ = 52662612879360.

The previous prime is 216001174501643. The next prime is 216001174501733. The reversal of 216001174501728 is 827105471100612.

216001174501728 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 0 + 1 + 1 + 74 + 501 + 72 + 8 = 666.

It is a super-2 number, since 2×216001174501728² (a number of 29 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 (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4546699351 + ... + 4546746857.

It is an arithmetic number, because the mean of its divisors is an integer number (588700607880).

Almost surely, 2^{216001174501728} is an apocalyptic number.

216001174501728 is a gapful number since it is divisible by the number (28) 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 216001174501728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423864437673600).

216001174501728 is an abundant number, since it is smaller than the sum of its proper divisors (631727700845472).

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

216001174501728 is a wasteful number, since it uses less digits than its factorization.

216001174501728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47686 (or 47658 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 216001174501728 in words is "two hundred sixteen trillion, one billion, one hundred seventy-four million, five hundred one thousand, seven hundred twenty-eight".