714606048 has 288 divisors, whose sum is σ = 2324754432. Its totient is φ = 206668800.

The previous prime is 714606047. The next prime is 714606073. The reversal of 714606048 is 840606417.

714606048 is a `hidden beast` number, since 7 + 1 + 4 + 606 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (714606041) 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 47 ways as a sum of consecutive naturals, for example, 5454943 + ... + 5455073.

It is an arithmetic number, because the mean of its divisors is an integer number (8072064).

Almost surely, 2^714606048 is an apocalyptic number.

714606048 is a gapful number since it is divisible by the number (78) 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 714606048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162377216).

714606048 is an abundant number, since it is smaller than the sum of its proper divisors (1610148384).

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

714606048 is a wasteful number, since it uses less digits than its factorization.

714606048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 714606048 is about 26732.1164145303. The cubic root of 714606048 is about 894.0371439306.

The spelling of 714606048 in words is "seven hundred fourteen million, six hundred six thousand, forty-eight".