216618948 has 288 divisors, whose sum is σ = 730562560. Its totient is φ = 54587520.

The previous prime is 216618937. The next prime is 216618967. The reversal of 216618948 is 849816612.

216618948 is a `hidden beast` number, since 21 + 6 + 618 + 9 + 4 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2741973 + ... + 2742051.

Almost surely, 2^216618948 is an apocalyptic number.

216618948 is a gapful number since it is divisible by the number (28) 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 216618948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365281280).

216618948 is an abundant number, since it is smaller than the sum of its proper divisors (513943612).

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

216618948 is a wasteful number, since it uses less digits than its factorization.

216618948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 216618948 is about 14717.9804321109. The cubic root of 216618948 is about 600.5725534638.

The spelling of 216618948 in words is "two hundred sixteen million, six hundred eighteen thousand, nine hundred forty-eight".