216825548544 has 1152 divisors, whose sum is σ = 796473216000. Its totient is φ = 58047528960.

The previous prime is 216825548543. The next prime is 216825548567. The reversal of 216825548544 is 445845528612.

216825548544 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 2 + 55 + 48 + 544 = 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216825548543) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1989225162 + ... + 1989225270.

It is an arithmetic number, because the mean of its divisors is an integer number (691383000).

Almost surely, 2^216825548544 is an apocalyptic number.

216825548544 is a gapful number since it is divisible by the number (24) 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 216825548544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398236608000).

216825548544 is an abundant number, since it is smaller than the sum of its proper divisors (579647667456).

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

216825548544 is a wasteful number, since it uses less digits than its factorization.

216825548544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 161 counting only the distinct ones).

The product of its digits is 12288000, while the sum is 54.

The spelling of 216825548544 in words is "two hundred sixteen billion, eight hundred twenty-five million, five hundred forty-eight thousand, five hundred forty-four".