216903500352 has 630 divisors, whose sum is σ = 822237428166. Its totient is φ = 56330588160.

The previous prime is 216903500321. The next prime is 216903500377. The reversal of 216903500352 is 253005309612.

216903500352 is a `hidden beast` number, since 2 + 16 + 90 + 3 + 500 + 3 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 216872764416 + 30735936 = 465696^2 + 5544^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 30732408 + ... + 30739464.

Almost surely, 2^216903500352 is an apocalyptic number.

216903500352 is a gapful number since it is divisible by the number (22) 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 216903500352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411118714083).

216903500352 is an abundant number, since it is smaller than the sum of its proper divisors (605333927814).

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

216903500352 is a wasteful number, since it uses less digits than its factorization.

216903500352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7117 (or 7080 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Adding to 216903500352 its reverse (253005309612), we get a palindrome (469908809964).

The spelling of 216903500352 in words is "two hundred sixteen billion, nine hundred three million, five hundred thousand, three hundred fifty-two".