216112458240 has 1120 divisors, whose sum is σ = 904243481856. Its totient is φ = 48492380160.

The previous prime is 216112458193. The next prime is 216112458277. The reversal of 216112458240 is 42854211612.

216112458240 is a `hidden beast` number, since 2 + 1 + 6 + 11 + 24 + 582 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 216112458195 and 216112458204.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 927521164 + ... + 927521396.

Almost surely, 2^216112458240 is an apocalyptic number.

216112458240 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 216112458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452121740928).

216112458240 is an abundant number, since it is smaller than the sum of its proper divisors (688131023616).

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

216112458240 is an frugal number, since it uses more digits than its factorization.

216112458240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 216112458240 its reverse (42854211612), we get a palindrome (258966669852).

The spelling of 216112458240 in words is "two hundred sixteen billion, one hundred twelve million, four hundred fifty-eight thousand, two hundred forty".