700545315688416 has 1152 divisors, whose sum is σ = 2388647061964800. Its totient is φ = 192436874772480.

The previous prime is 700545315688411. The next prime is 700545315688417. The reversal of 700545315688416 is 614886513545007.

It is a happy number.

700545315688416 is a `hidden beast` number, since 7 + 0 + 0 + 5 + 4 + 53 + 1 + 568 + 8 + 4 + 16 = 666.

700545315688416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (700545315688411) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45216884766 + ... + 45216900258.

It is an arithmetic number, because the mean of its divisors is an integer number (2073478352400).

Almost surely, 2^{700545315688416} is an apocalyptic number.

700545315688416 is a gapful number since it is divisible by the number (76) 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 700545315688416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194323530982400).

700545315688416 is an abundant number, since it is smaller than the sum of its proper divisors (1688101746276384).

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

700545315688416 is a wasteful number, since it uses less digits than its factorization.

700545315688416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15912 (or 15901 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 700545315688416 in words is "seven hundred trillion, five hundred forty-five billion, three hundred fifteen million, six hundred eighty-eight thousand, four hundred sixteen".