249136746496 has 117 divisors (see below), whose sum is σ = 548395665573. Its totient is φ = 113084252160.

The previous prime is 249136746491. The next prime is 249136746503. The reversal of 249136746496 is 694647631942.

The square root of 249136746496 is 499136.

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., 33246416896 + 215890329600 = 182336^2 + 464640^2 .

It is a super-2 number, since 2×249136746496² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (249136746491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 351391390 + ... + 351392098.

Almost surely, 2^249136746496 is an apocalyptic number.

249136746496 is the 499136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249136746496

249136746496 is an abundant number, since it is smaller than the sum of its proper divisors (299258919077).

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

249136746496 is an frugal number, since it uses more digits than its factorization.

249136746496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 722 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 61.

The spelling of 249136746496 in words is "two hundred forty-nine billion, one hundred thirty-six million, seven hundred forty-six thousand, four hundred ninety-six".