701059055616 has 240 divisors, whose sum is σ = 2082534209280. Its totient is φ = 233080750080.

The previous prime is 701059055579. The next prime is 701059055621. The reversal of 701059055616 is 616550950107.

701059055616 is a `hidden beast` number, since 7 + 0 + 1 + 0 + 5 + 90 + 556 + 1 + 6 = 666.

It is a super-2 number, since 2×701059055616² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190658770 + ... + 190662446.

It is an arithmetic number, because the mean of its divisors is an integer number (8677225872).

Almost surely, 2^701059055616 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 701059055616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041267104640).

701059055616 is an abundant number, since it is smaller than the sum of its proper divisors (1381475153664).

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

701059055616 is an equidigital number, since it uses as much as digits as its factorization.

701059055616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 701059055616 in words is "seven hundred one billion, fifty-nine million, fifty-five thousand, six hundred sixteen".