216245940954912 has 1152 divisors, whose sum is σ = 751810049722368. Its totient is φ = 60413324083200.

The previous prime is 216245940954907. The next prime is 216245940954971. The reversal of 216245940954912 is 219459049542612.

It is a happy number.

216245940954912 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 4 + 59 + 4 + 0 + 95 + 491 + 2 = 666.

216245940954912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 216245940954912.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17634010093 + ... + 17634022355.

It is an arithmetic number, because the mean of its divisors is an integer number (652612890384).

Almost surely, 2^{216245940954912} is an apocalyptic number.

216245940954912 is a gapful number since it is divisible by the number (22) 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 216245940954912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375905024861184).

216245940954912 is an abundant number, since it is smaller than the sum of its proper divisors (535564108767456).

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

216245940954912 is a wasteful number, since it uses less digits than its factorization.

216245940954912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12564 (or 12544 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 216245940954912 in words is "two hundred sixteen trillion, two hundred forty-five billion, nine hundred forty million, nine hundred fifty-four thousand, nine hundred twelve".