216248294134080 has 3584 divisors, whose sum is σ = 942986912071680. Its totient is φ = 46078749573120.

The previous prime is 216248294134079. The next prime is 216248294134087. The reversal of 216248294134080 is 80431492842612.

216248294134080 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 4 + 8 + 294 + 1 + 340 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216248294134087) by changing a digit.

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 511 ways as a sum of consecutive naturals, for example, 262756128549 + ... + 262756129371.

It is an arithmetic number, because the mean of its divisors is an integer number (263110187520).

Almost surely, 2^{216248294134080} is an apocalyptic number.

216248294134080 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 216248294134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471493456035840).

216248294134080 is an abundant number, since it is smaller than the sum of its proper divisors (726738617937600).

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

216248294134080 is a wasteful number, since it uses less digits than its factorization.

216248294134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 216248294134080 in words is "two hundred sixteen trillion, two hundred forty-eight billion, two hundred ninety-four million, one hundred thirty-four thousand, eighty".