249440706990864 has 405 divisors, whose sum is σ = 732149243025109. Its totient is φ = 79276752867840.

The previous prime is 249440706990857. The next prime is 249440706990869. The reversal of 249440706990864 is 468099607044942.

It is a happy number.

The square root of 249440706990864 is 15793692.

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

249440706990864 is a `hidden beast` number, since 2 + 49 + 440 + 7 + 0 + 69 + 9 + 0 + 86 + 4 = 666.

249440706990864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12019451080464 + 237421255910400 = 3466908^2 + 15408480^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 249440706990792 and 249440706990801.

It is not an unprimeable number, because it can be changed into a prime (249440706990869) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 365213333467 + ... + 365213334149.

Almost surely, 2^{249440706990864} is an apocalyptic number.

249440706990864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

249440706990864 is the 15793692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249440706990864

249440706990864 is an abundant number, since it is smaller than the sum of its proper divisors (482708536034245).

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

249440706990864 is an frugal number, since it uses more digits than its factorization.

249440706990864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 249440706990864 in words is "two hundred forty-nine trillion, four hundred forty billion, seven hundred six million, nine hundred ninety thousand, eight hundred sixty-four".