216495954 has 72 divisors (see below), whose sum is σ = 496449252. Its totient is φ = 68117760.

The previous prime is 216495943. The next prime is 216495967. The reversal of 216495954 is 459594612.

216495954 is a `hidden beast` number, since 2 + 16 + 49 + 595 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 106812225 + 109683729 = 10335^2 + 10473^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2965662 + ... + 2965734.

Almost surely, 2^216495954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216495954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248224626).

216495954 is an abundant number, since it is smaller than the sum of its proper divisors (279953298).

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

216495954 is a wasteful number, since it uses less digits than its factorization.

216495954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 176 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 216495954 is about 14713.8014802430. The cubic root of 216495954 is about 600.4588656477.

The spelling of 216495954 in words is "two hundred sixteen million, four hundred ninety-five thousand, nine hundred fifty-four".