216434824704000 has 1248 divisors, whose sum is σ = 892409455242240. Its totient is φ = 49430642688000.

The previous prime is 216434824703969. The next prime is 216434824704001. The reversal of 216434824704000 is 407428434612.

216434824704000 is a `hidden beast` number, since 2 + 1 + 64 + 3 + 4 + 82 + 470 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216434824704001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60609022215 + ... + 60609025785.

It is an arithmetic number, because the mean of its divisors is an integer number (715071678880).

Almost surely, 2^{216434824704000} is an apocalyptic number.

216434824704000 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 216434824704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446204727621120).

216434824704000 is an abundant number, since it is smaller than the sum of its proper divisors (675974630538240).

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

216434824704000 is a wasteful number, since it uses less digits than its factorization.

216434824704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5502 (or 5467 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 216434824704000 in words is "two hundred sixteen trillion, four hundred thirty-four billion, eight hundred twenty-four million, seven hundred four thousand".