714914808000 has 672 divisors, whose sum is σ = 2467820759040. Its totient is φ = 182345472000.

The previous prime is 714914807993. The next prime is 714914808007. The reversal of 714914808000 is 808419417.

It is an interprime number because it is at equal distance from previous prime (714914807993) and next prime (714914808007).

It is a super-2 number, since 2×714914808000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (714914808007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3205895889 + ... + 3205896111.

It is an arithmetic number, because the mean of its divisors is an integer number (3672352320).

Almost surely, 2^714914808000 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 714914808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233910379520).

714914808000 is an abundant number, since it is smaller than the sum of its proper divisors (1752905951040).

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

714914808000 is a wasteful number, since it uses less digits than its factorization.

714914808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 714914808000 in words is "seven hundred fourteen billion, nine hundred fourteen million, eight hundred eight thousand".