249698816640 has 1280 divisors, whose sum is σ = 1125140163840. Its totient is φ = 51358924800.

The previous prime is 249698816581. The next prime is 249698816651. The reversal of 249698816640 is 46618896942.

249698816640 is a `hidden beast` number, since 2 + 496 + 9 + 8 + 81 + 6 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 193414395 + ... + 193415685.

It is an arithmetic number, because the mean of its divisors is an integer number (879015753).

Almost surely, 2^249698816640 is an apocalyptic number.

249698816640 is a gapful number since it is divisible by the number (20) 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 249698816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562570081920).

249698816640 is an abundant number, since it is smaller than the sum of its proper divisors (875441347200).

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

249698816640 is a wasteful number, since it uses less digits than its factorization.

249698816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 249698816640 in words is "two hundred forty-nine billion, six hundred ninety-eight million, eight hundred sixteen thousand, six hundred forty".