704511354816 has 672 divisors, whose sum is σ = 2216245764096. Its totient is φ = 213497856000.

The previous prime is 704511354803. The next prime is 704511354823. The reversal of 704511354816 is 618453115407.

704511354816 is a `hidden beast` number, since 7 + 0 + 4 + 511 + 3 + 54 + 81 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2599672761 + ... + 2599673031.

It is an arithmetic number, because the mean of its divisors is an integer number (3297984768).

Almost surely, 2^704511354816 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 704511354816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108122882048).

704511354816 is an abundant number, since it is smaller than the sum of its proper divisors (1511734409280).

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

704511354816 is a wasteful number, since it uses less digits than its factorization.

704511354816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 704511354816 in words is "seven hundred four billion, five hundred eleven million, three hundred fifty-four thousand, eight hundred sixteen".