216450427536 has 540 divisors, whose sum is σ = 736587075276. Its totient is φ = 59156213760.

The previous prime is 216450427511. The next prime is 216450427597. The reversal of 216450427536 is 635724054612.

216450427536 is a `hidden beast` number, since 2 + 1 + 64 + 50 + 4 + 2 + 7 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83546433936 + 132903993600 = 289044^2 + 364560^2 .

It is a junction number, because it is equal to n+sod(n) for n = 216450427491 and 216450427500.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 928971676 + ... + 928971908.

Almost surely, 2^216450427536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216450427536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368293537638).

216450427536 is an abundant number, since it is smaller than the sum of its proper divisors (520136647740).

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

216450427536 is a wasteful number, since it uses less digits than its factorization.

216450427536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 216450427536 in words is "two hundred sixteen billion, four hundred fifty million, four hundred twenty-seven thousand, five hundred thirty-six".