701828413504 has 189 divisors, whose sum is σ = 1517473983207. Its totient is φ = 322018464768.

The previous prime is 701828413499. The next prime is 701828413511. The reversal of 701828413504 is 405314828107.

The square root of 701828413504 is 837752.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 24749582400 + 677078831104 = 157320^2 + 822848^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 4470244594 + ... + 4470244750.

Almost surely, 2^701828413504 is an apocalyptic number.

701828413504 is the 837752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 701828413504

701828413504 is an abundant number, since it is smaller than the sum of its proper divisors (815645569703).

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

701828413504 is an equidigital number, since it uses as much as digits as its factorization.

701828413504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 701828413504 in words is "seven hundred one billion, eight hundred twenty-eight million, four hundred thirteen thousand, five hundred four".