1001726744769 has 63 divisors (see below), whose sum is σ = 1585923864849. Its totient is φ = 632345243400.

The previous prime is 1001726744749. The next prime is 1001726744773. The reversal of 1001726744769 is 9674476271001.

It is a happy number.

The square root of 1001726744769 is 1000863.

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

1001726744769 is a `hidden beast` number, since 10 + 0 + 1 + 72 + 67 + 447 + 69 = 666.

It is not a de Polignac number, because 1001726744769 - 2¹⁷ = 1001726613697 is a prime.

It is a super-2 number, since 2×1001726744769² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001726744749) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 513441744 + ... + 513443694.

Almost surely, 2^{1001726744769} is an apocalyptic number.

1001726744769 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1001726744769 is the 1000863-rd square number.

1001726744769 is the 500432-nd centered octagonal number.

It is an amenable number.

1001726744769 is a deficient number, since it is larger than the sum of its proper divisors (584197120080).

1001726744769 is an frugal number, since it uses more digits than its factorization.

1001726744769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 1001726744769 in words is "one trillion, one billion, seven hundred twenty-six million, seven hundred forty-four thousand, seven hundred sixty-nine".