746829541249 has 27 divisors (see below), whose sum is σ = 826820381667. Its totient is φ = 674070540000.

The previous prime is 746829541247. The next prime is 746829541307. The reversal of 746829541249 is 942145928647.

The square root of 746829541249 is 864193.

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., 4764450625 + 742065090624 = 69025^2 + 861432^2 .

It is not a de Polignac number, because 746829541249 - 2¹ = 746829541247 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (746829541247) 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 26 ways as a sum of consecutive naturals, for example, 2386036717 + ... + 2386037029.

Almost surely, 2^746829541249 is an apocalyptic number.

746829541249 is the 864193-rd square number.

746829541249 is the 432097-th centered octagonal number.

It is an amenable number.

746829541249 is a deficient number, since it is larger than the sum of its proper divisors (79990840418).

746829541249 is an frugal number, since it uses more digits than its factorization.

746829541249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 575 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 61.

The spelling of 746829541249 in words is "seven hundred forty-six billion, eight hundred twenty-nine million, five hundred forty-one thousand, two hundred forty-nine".