706351201845408 has 480 divisors, whose sum is σ = 2442567544712064. Its totient is φ = 196079124307968.

The previous prime is 706351201845407. The next prime is 706351201845433. The reversal of 706351201845408 is 804548102153607.

It is a happy number.

706351201845408 is a `hidden beast` number, since 7 + 0 + 6 + 3 + 5 + 12 + 0 + 1 + 84 + 540 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (706351201845407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 84762516 + ... + 92722092.

Almost surely, 2^{706351201845408} 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 706351201845408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221283772356032).

706351201845408 is an abundant number, since it is smaller than the sum of its proper divisors (1736216342866656).

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

706351201845408 is a wasteful number, since it uses less digits than its factorization.

706351201845408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7959746 (or 7959729 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 706351201845408 in words is "seven hundred six trillion, three hundred fifty-one billion, two hundred one million, eight hundred forty-five thousand, four hundred eight".