842536635248 has 120 divisors (see below), whose sum is σ = 2171262967776. Its totient is φ = 308951470080.

The previous prime is 842536635229. The next prime is 842536635251.

842536635248 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 842536635193 and 842536635202.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1598165 + ... + 2058932.

Almost surely, 2^842536635248 is an apocalyptic number.

842536635248 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

842536635248 is an abundant number, since it is smaller than the sum of its proper divisors (1328726332528).

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

842536635248 is a wasteful number, since it uses less digits than its factorization.

842536635248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3657151 (or 3657134 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 56.

The spelling of 842536635248 in words is "eight hundred forty-two billion, five hundred thirty-six million, six hundred thirty-five thousand, two hundred forty-eight".