746839911601 has 9 divisors (see below), whose sum is σ = 868779995499. Its totient is φ = 640143310464.

The previous prime is 746839911589. The next prime is 746839911607. The reversal of 746839911601 is 106119938647.

The square root of 746839911601 is 864199.

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

It can be written as a sum of positive squares in only one way, i.e., 740658178225 + 6181733376 = 860615^2 + 78624^2 .

It is not a de Polignac number, because 746839911601 - 2⁷ = 746839911473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (746839911607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5987665 + ... + 6111121.

It is an arithmetic number, because the mean of its divisors is an integer number (96531110611).

Almost surely, 2^746839911601 is an apocalyptic number.

746839911601 is the 864199-th square number.

746839911601 is the 432100-th centered octagonal number.

It is an amenable number.

746839911601 is a deficient number, since it is larger than the sum of its proper divisors (121940083898).

746839911601 is an frugal number, since it uses more digits than its factorization.

746839911601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246928 (or 123464 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 55.

The spelling of 746839911601 in words is "seven hundred forty-six billion, eight hundred thirty-nine million, nine hundred eleven thousand, six hundred one".