216815044512 has 192 divisors, whose sum is σ = 636296024448. Its totient is φ = 64622131200.

The previous prime is 216815044507. The next prime is 216815044529. The reversal of 216815044512 is 215440518612.

It is a happy number.

216815044512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7780428 + ... + 7808244.

It is an arithmetic number, because the mean of its divisors is an integer number (3314041794).

Almost surely, 2^216815044512 is an apocalyptic number.

216815044512 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 216815044512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318148012224).

216815044512 is an abundant number, since it is smaller than the sum of its proper divisors (419480979936).

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

216815044512 is a wasteful number, since it uses less digits than its factorization.

216815044512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27924 (or 27894 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 216815044512 in words is "two hundred sixteen billion, eight hundred fifteen million, forty-four thousand, five hundred twelve".