714144816 has 240 divisors, whose sum is σ = 2602154880. Its totient is φ = 185431680.

The previous prime is 714144803. The next prime is 714144829. The reversal of 714144816 is 618441417.

It is an interprime number because it is at equal distance from previous prime (714144803) and next prime (714144829).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231315 + ... + 234381.

It is an arithmetic number, because the mean of its divisors is an integer number (10842312).

Almost surely, 2^714144816 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 714144816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301077440).

714144816 is an abundant number, since it is smaller than the sum of its proper divisors (1888010064).

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

714144816 is a wasteful number, since it uses less digits than its factorization.

714144816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109 (or 3090 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 714144816 is about 26723.4880956809. The cubic root of 714144816 is about 893.8447548095.

It can be divided in two parts, 714 and 144816, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 714144816 in words is "seven hundred fourteen million, one hundred forty-four thousand, eight hundred sixteen".