249871340160 has 672 divisors, whose sum is σ = 970112151900. Its totient is φ = 61487382528.

The previous prime is 249871340143. The next prime is 249871340167. The reversal of 249871340160 is 61043178942.

249871340160 is a `hidden beast` number, since 2 + 498 + 71 + 34 + 0 + 1 + 60 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 57796006464 + 192075333696 = 240408^2 + 438264^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (249871340167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 78847056 + ... + 78850224.

Almost surely, 2^249871340160 is an apocalyptic number.

249871340160 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 249871340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485056075950).

249871340160 is an abundant number, since it is smaller than the sum of its proper divisors (720240811740).

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

249871340160 is an equidigital number, since it uses as much as digits as its factorization.

249871340160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 249871340160 in words is "two hundred forty-nine billion, eight hundred seventy-one million, three hundred forty thousand, one hundred sixty".