701410901688 has 224 divisors, whose sum is σ = 2308473185760. Its totient is φ = 195514767360.

The previous prime is 701410901683. The next prime is 701410901701. The reversal of 701410901688 is 886109014107.

It is a happy number.

701410901688 is a `hidden beast` number, since 70 + 1 + 410 + 9 + 0 + 168 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (701410901683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1464256 + ... + 1883312.

It is an arithmetic number, because the mean of its divisors is an integer number (10305683865).

Almost surely, 2^701410901688 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 701410901688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154236592880).

701410901688 is an abundant number, since it is smaller than the sum of its proper divisors (1607062284072).

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

701410901688 is a wasteful number, since it uses less digits than its factorization.

701410901688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419129 (or 419110 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 701410901688 in words is "seven hundred one billion, four hundred ten million, nine hundred one thousand, six hundred eighty-eight".