63214144 has 56 divisors (see below), whose sum is σ = 144475200. Its totient is φ = 26881536.

The previous prime is 63214139. The next prime is 63214147. The reversal of 63214144 is 44141236.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (63214147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66279 + ... + 67225.

Almost surely, 2^63214144 is an apocalyptic number.

63214144 is a gapful number since it is divisible by the number (64) 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 63214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72237600).

63214144 is an abundant number, since it is smaller than the sum of its proper divisors (81261056).

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

63214144 is a wasteful number, since it uses less digits than its factorization.

63214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1105 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 63214144 is about 7950.7322933174. The cubic root of 63214144 is about 398.3560528504.

The spelling of 63214144 in words is "sixty-three million, two hundred fourteen thousand, one hundred forty-four".