216742299385248 has 720 divisors, whose sum is σ = 804831057321984. Its totient is φ = 56712648545280.

The previous prime is 216742299385211. The next prime is 216742299385343. The reversal of 216742299385248 is 842583992247612.

216742299385248 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 4 + 2 + 2 + 9 + 93 + 8 + 524 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 209173393 + ... + 210207023.

Almost surely, 2^{216742299385248} is an apocalyptic number.

216742299385248 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 216742299385248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402415528660992).

216742299385248 is an abundant number, since it is smaller than the sum of its proper divisors (588088757936736).

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

216742299385248 is a wasteful number, since it uses less digits than its factorization.

216742299385248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033807 (or 1033783 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 216742299385248 in words is "two hundred sixteen trillion, seven hundred forty-two billion, two hundred ninety-nine million, three hundred eighty-five thousand, two hundred forty-eight".