216006109433856 has 728 divisors, whose sum is σ = 741951710594624. Its totient is φ = 61566929141760.

The previous prime is 216006109433813. The next prime is 216006109433879. The reversal of 216006109433856 is 658334901600612.

216006109433856 is a `hidden beast` number, since 2 + 16 + 0 + 0 + 610 + 9 + 4 + 3 + 3 + 8 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8799682575 + ... + 8799707121.

Almost surely, 2^{216006109433856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216006109433856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370975855297312).

216006109433856 is an abundant number, since it is smaller than the sum of its proper divisors (525945601160768).

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

216006109433856 is an frugal number, since it uses more digits than its factorization.

216006109433856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25017 (or 24980 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 216006109433856 in words is "two hundred sixteen trillion, six billion, one hundred nine million, four hundred thirty-three thousand, eight hundred fifty-six".