216314496 has 64 divisors (see below), whose sum is σ = 638438400. Its totient is φ = 72103680.

The previous prime is 216314459. The next prime is 216314503. The reversal of 216314496 is 694413612.

216314496 is a `hidden beast` number, since 2 + 163 + 1 + 4 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×216314496² = 93583922359468032, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 216314496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27840 + ... + 34751.

It is an arithmetic number, because the mean of its divisors is an integer number (9975600).

Almost surely, 2^216314496 is an apocalyptic number.

It is an amenable number.

216314496 is an abundant number, since it is smaller than the sum of its proper divisors (422123904).

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

216314496 is an equidigital number, since it uses as much as digits as its factorization.

216314496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62614 (or 62596 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 216314496 is about 14707.6339361571. The cubic root of 216314496 is about 600.2910587851.

The spelling of 216314496 in words is "two hundred sixteen million, three hundred fourteen thousand, four hundred ninety-six".