746281743376 has 135 divisors (see below), whose sum is σ = 1612753099461. Its totient is φ = 334382211072.

The previous prime is 746281743359. The next prime is 746281743379. The reversal of 746281743376 is 673347182647.

It is a happy number.

The square root of 746281743376 is 863876.

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

It can be written as a sum of positive squares in 13 ways, for example, as 244111093776 + 502170649600 = 494076^2 + 708640^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 746281743376.

It is not an unprimeable number, because it can be changed into a prime (746281743379) 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, 1662097200 + ... + 1662097648.

Almost surely, 2^746281743376 is an apocalyptic number.

746281743376 is the 863876-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 746281743376

746281743376 is an abundant number, since it is smaller than the sum of its proper divisors (866471356085).

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

746281743376 is an equidigital number, since it uses as much as digits as its factorization.

746281743376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 501 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 58.

The spelling of 746281743376 in words is "seven hundred forty-six billion, two hundred eighty-one million, seven hundred forty-three thousand, three hundred seventy-six".