216849231040 has 168 divisors, whose sum is σ = 590732008272. Its totient is φ = 75357143040.

The previous prime is 216849231031. The next prime is 216849231041. The reversal of 216849231040 is 40132948612.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 216849230984 and 216849231002.

It is not an unprimeable number, because it can be changed into a prime (216849231041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1112055 + ... + 1292425.

It is an arithmetic number, because the mean of its divisors is an integer number (3516261954).

Almost surely, 2^216849231040 is an apocalyptic number.

216849231040 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 216849231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295366004136).

216849231040 is an abundant number, since it is smaller than the sum of its proper divisors (373882777232).

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

216849231040 is a wasteful number, since it uses less digits than its factorization.

216849231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180435 (or 180408 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 216849231040 in words is "two hundred sixteen billion, eight hundred forty-nine million, two hundred thirty-one thousand, forty".