249264541696 has 117 divisors (see below), whose sum is σ = 518175773791. Its totient is φ = 119887265792.

The previous prime is 249264541661. The next prime is 249264541709. The reversal of 249264541696 is 696145462942.

The square root of 249264541696 is 499264.

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

It can be written as a sum of positive squares in 4 ways, for example, as 57630724096 + 191633817600 = 240064^2 + 437760^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

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 249264541696.

It is an unprimeable number.

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, 926633850 + ... + 926634118.

Almost surely, 2^249264541696 is an apocalyptic number.

249264541696 is the 499264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249264541696

249264541696 is an abundant number, since it is smaller than the sum of its proper divisors (268911232095).

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

249264541696 is an frugal number, since it uses more digits than its factorization.

249264541696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 300 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 58.

The spelling of 249264541696 in words is "two hundred forty-nine billion, two hundred sixty-four million, five hundred forty-one thousand, six hundred ninety-six".