714312490464000 has 864 divisors, whose sum is σ = 2721949763158080. Its totient is φ = 179248742400000.

The previous prime is 714312490463933. The next prime is 714312490464011. The reversal of 714312490464000 is 464094213417.

714312490464000 is a `hidden beast` number, since 7 + 143 + 1 + 2 + 49 + 0 + 464 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58306457875 + ... + 58306470125.

It is an arithmetic number, because the mean of its divisors is an integer number (3150404818470).

Almost surely, 2^{714312490464000} 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 714312490464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360974881579040).

714312490464000 is an abundant number, since it is smaller than the sum of its proper divisors (2007637272694080).

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

714312490464000 is a wasteful number, since it uses less digits than its factorization.

714312490464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24214 (or 24187 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 714312490464000 in words is "seven hundred fourteen trillion, three hundred twelve billion, four hundred ninety million, four hundred sixty-four thousand".