614144244 has 192 divisors, whose sum is σ = 1809561600. Its totient is φ = 161441280.

The previous prime is 614144221. The next prime is 614144287. The reversal of 614144244 is 442441416.

It is a super-3 number, since 3×614144244³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4688059 + ... + 4688189.

It is an arithmetic number, because the mean of its divisors is an integer number (9424800).

Almost surely, 2^614144244 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 614144244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904780800).

614144244 is an abundant number, since it is smaller than the sum of its proper divisors (1195417356).

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

614144244 is a wasteful number, since it uses less digits than its factorization.

614144244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 227 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 614144244 is about 24781.9338228476. The cubic root of 614144244 is about 850.0088783386.

The spelling of 614144244 in words is "six hundred fourteen million, one hundred forty-four thousand, two hundred forty-four".