701001712128 has 160 divisors (see below), whose sum is σ = 1932885662400. Its totient is φ = 225495760896.

The previous prime is 701001712057. The next prime is 701001712133. The reversal of 701001712128 is 821217100107.

It is a junction number, because it is equal to n+sod(n) for n = 701001712095 and 701001712104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165211575 + ... + 165215817.

It is an arithmetic number, because the mean of its divisors is an integer number (12080535390).

Almost surely, 2^701001712128 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 701001712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966442831200).

701001712128 is an abundant number, since it is smaller than the sum of its proper divisors (1231883950272).

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

701001712128 is a wasteful number, since it uses less digits than its factorization.

701001712128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8002 (or 7986 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 30.

The spelling of 701001712128 in words is "seven hundred one billion, one million, seven hundred twelve thousand, one hundred twenty-eight".