214346496 has 144 divisors (see below), whose sum is σ = 702351104. Its totient is φ = 56512512.

The previous prime is 214346477. The next prime is 214346527. The reversal of 214346496 is 694643412.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 68355 + ... + 71421.

Almost surely, 2^214346496 is an apocalyptic number.

214346496 is a gapful number since it is divisible by the number (26) 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 214346496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351175552).

214346496 is an abundant number, since it is smaller than the sum of its proper divisors (488004608).

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

214346496 is a wasteful number, since it uses less digits than its factorization.

214346496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 3092 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 214346496 is about 14640.5770378083. The cubic root of 214346496 is about 598.4650543628.

The spelling of 214346496 in words is "two hundred fourteen million, three hundred forty-six thousand, four hundred ninety-six".