214141488 has 80 divisors (see below), whose sum is σ = 605532672. Its totient is φ = 64672000.

The previous prime is 214141409. The next prime is 214141489. The reversal of 214141488 is 884141412.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is not an unprimeable number, because it can be changed into a prime (214141489) by changing a digit.

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, 227098 + ... + 228038.

Almost surely, 2^214141488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214141488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302766336).

214141488 is an abundant number, since it is smaller than the sum of its proper divisors (391391184).

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

214141488 is a wasteful number, since it uses less digits than its factorization.

214141488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1388 counting only the distinct ones).

The product of its digits is 8192, while the sum is 33.

The square root of 214141488 is about 14633.5739995396. The cubic root of 214141488 is about 598.2741963177.

The spelling of 214141488 in words is "two hundred fourteen million, one hundred forty-one thousand, four hundred eighty-eight".