249742303469568 has 5376 divisors, whose sum is σ = 1052571033206784. Its totient is φ = 55159962992640.

The previous prime is 249742303469567. The next prime is 249742303469609. The reversal of 249742303469568 is 865964303247942.

It is a happy number.

249742303469568 is a `hidden beast` number, since 2 + 4 + 9 + 7 + 4 + 23 + 0 + 34 + 6 + 9 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

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

It is a junction number, because it is equal to n+sod(n) for n = 249742303469496 and 249742303469505.

It is not an unprimeable number, because it can be changed into a prime (249742303469567) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3008943415255 + ... + 3008943415337.

It is an arithmetic number, because the mean of its divisors is an integer number (195790742784).

Almost surely, 2^{249742303469568} is an apocalyptic number.

249742303469568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249742303469568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526285516603392).

249742303469568 is an abundant number, since it is smaller than the sum of its proper divisors (802828729737216).

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

249742303469568 is a wasteful number, since it uses less digits than its factorization.

249742303469568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1881169920, while the sum is 72.

The spelling of 249742303469568 in words is "two hundred forty-nine trillion, seven hundred forty-two billion, three hundred three million, four hundred sixty-nine thousand, five hundred sixty-eight".