248232722754240 has 1008 divisors, whose sum is σ = 1055842912257120. Its totient is φ = 53220387225600.

The previous prime is 248232722754209. The next prime is 248232722754287. The reversal of 248232722754240 is 42457227232842.

248232722754240 is a `hidden beast` number, since 2 + 4 + 8 + 2 + 3 + 2 + 72 + 27 + 542 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 270350964 + ... + 271267596.

Almost surely, 2^{248232722754240} is an apocalyptic number.

248232722754240 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 248232722754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527921456128560).

248232722754240 is an abundant number, since it is smaller than the sum of its proper divisors (807610189502880).

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

248232722754240 is a wasteful number, since it uses less digits than its factorization.

248232722754240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916790 (or 916770 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 54.

The spelling of 248232722754240 in words is "two hundred forty-eight trillion, two hundred thirty-two billion, seven hundred twenty-two million, seven hundred fifty-four thousand, two hundred forty".