248157751842 has 512 divisors, whose sum is σ = 767207669760. Its totient is φ = 57375682560.

The previous prime is 248157751819. The next prime is 248157751867.

248157751842 is a `hidden beast` number, since 2 + 4 + 8 + 15 + 77 + 518 + 42 = 666.

248157751842 is nontrivially palindromic in base 10.

248157751842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 253999258 + ... + 254000234.

It is an arithmetic number, because the mean of its divisors is an integer number (1498452480).

Almost surely, 2^248157751842 is an apocalyptic number.

248157751842 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 248157751842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383603834880).

248157751842 is an abundant number, since it is smaller than the sum of its proper divisors (519049917918).

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

248157751842 is a wasteful number, since it uses less digits than its factorization.

248157751842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1177 counting only the distinct ones).

The product of its digits is 5017600, while the sum is 54.

It can be divided in two parts, 248157 and 751842, that added together give a palindrome (999999).

The spelling of 248157751842 in words is "two hundred forty-eight billion, one hundred fifty-seven million, seven hundred fifty-one thousand, eight hundred forty-two".