248014410842 has 32 divisors (see below), whose sum is σ = 426291738624. Its totient is φ = 107118198000.

The previous prime is 248014410823. The next prime is 248014410869.

248014410842 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×248014410842² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 248014410796 and 248014410805.

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 15 ways as a sum of consecutive naturals, for example, 1546598 + ... + 1699409.

It is an arithmetic number, because the mean of its divisors is an integer number (13321616832).

Almost surely, 2^248014410842 is an apocalyptic number.

248014410842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

248014410842 is a deficient number, since it is larger than the sum of its proper divisors (178277327782).

248014410842 is a wasteful number, since it uses less digits than its factorization.

248014410842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246194.

The product of its (nonzero) digits is 65536, while the sum is 38.

It can be divided in two parts, 248014 and 410842, that added together give a palindrome (658856).

The spelling of 248014410842 in words is "two hundred forty-eight billion, fourteen million, four hundred ten thousand, eight hundred forty-two".