714138048 has 168 divisors, whose sum is σ = 2218759088. Its totient is φ = 218308608.

The previous prime is 714138043. The next prime is 714138053. The reversal of 714138048 is 840831417.

It is an interprime number because it is at equal distance from previous prime (714138043) and next prime (714138053).

It is a super-3 number, since 3×714138048³ (a number of 28 digits) contains 333 as substring.

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 (714138043) 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 23 ways as a sum of consecutive naturals, for example, 2118936 + ... + 2119272.

Almost surely, 2^714138048 is an apocalyptic number.

714138048 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 714138048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109379544).

714138048 is an abundant number, since it is smaller than the sum of its proper divisors (1504621040).

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

714138048 is a wasteful number, since it uses less digits than its factorization.

714138048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 638 counting only the distinct ones).

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

The square root of 714138048 is about 26723.3614652049. The cubic root of 714138048 is about 893.8419311243.

The spelling of 714138048 in words is "seven hundred fourteen million, one hundred thirty-eight thousand, forty-eight".