216073287293248 has 1008 divisors, whose sum is σ = 598607700724800. Its totient is φ = 76300066160640.

The previous prime is 216073287293239. The next prime is 216073287293287. The reversal of 216073287293248 is 842392782370612.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 216073287293248.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 62286907258 + ... + 62286910726.

Almost surely, 2^{216073287293248} is an apocalyptic number.

216073287293248 is a gapful number since it is divisible by the number (28) 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 216073287293248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299303850362400).

216073287293248 is an abundant number, since it is smaller than the sum of its proper divisors (382534413431552).

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

216073287293248 is a wasteful number, since it uses less digits than its factorization.

216073287293248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3650 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 64.

The spelling of 216073287293248 in words is "two hundred sixteen trillion, seventy-three billion, two hundred eighty-seven million, two hundred ninety-three thousand, two hundred forty-eight".