714858144 has 384 divisors, whose sum is σ = 2592995328. Its totient is φ = 166440960.

The previous prime is 714858107. The next prime is 714858181. The reversal of 714858144 is 441858417.

It is an interprime number because it is at equal distance from previous prime (714858107) and next prime (714858181).

It is a super-2 number, since 2×714858144² = 1022044332086249472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 714858096 and 714858105.

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, 4132042 + ... + 4132214.

It is an arithmetic number, because the mean of its divisors is an integer number (6752592).

Almost surely, 2^714858144 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 714858144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296497664).

714858144 is an abundant number, since it is smaller than the sum of its proper divisors (1878137184).

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

714858144 is a wasteful number, since it uses less digits than its factorization.

714858144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its digits is 143360, while the sum is 42.

The square root of 714858144 is about 26736.8312258577. The cubic root of 714858144 is about 894.1422632433.

It can be divided in two parts, 714 and 858144, that added together give a palindrome (858858).

The spelling of 714858144 in words is "seven hundred fourteen million, eight hundred fifty-eight thousand, one hundred forty-four".