216145641600 has 1152 divisors, whose sum is σ = 941754902400. Its totient is φ = 46103592960.

The previous prime is 216145641599. The next prime is 216145641671. The reversal of 216145641600 is 6146541612.

216145641600 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 4 + 5 + 6 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 279618814 + ... + 279619586.

It is an arithmetic number, because the mean of its divisors is an integer number (817495575).

Almost surely, 2^216145641600 is an apocalyptic number.

216145641600 is a gapful number since it is divisible by the number (20) 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 216145641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470877451200).

216145641600 is an abundant number, since it is smaller than the sum of its proper divisors (725609260800).

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

216145641600 is a wasteful number, since it uses less digits than its factorization.

216145641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 882 counting only the distinct ones).

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

The spelling of 216145641600 in words is "two hundred sixteen billion, one hundred forty-five million, six hundred forty-one thousand, six hundred".