248955559842 has 64 divisors (see below), whose sum is σ = 556483374720. Its totient is φ = 73608537600.

The previous prime is 248955559799. The next prime is 248955559859.

248955559842 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436534 + ... + 829742.

It is an arithmetic number, because the mean of its divisors is an integer number (8695052730).

Almost surely, 2^248955559842 is an apocalyptic number.

248955559842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 248955559842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278241687360).

248955559842 is an abundant number, since it is smaller than the sum of its proper divisors (307527814878).

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

248955559842 is a wasteful number, since it uses less digits than its factorization.

248955559842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393459.

The product of its digits is 207360000, while the sum is 66.

The spelling of 248955559842 in words is "two hundred forty-eight billion, nine hundred fifty-five million, five hundred fifty-nine thousand, eight hundred forty-two".