842742953413101 has 64 divisors (see below), whose sum is σ = 1423731017318400. Its totient is φ = 488072683219968.

The previous prime is 842742953413091. The next prime is 842742953413171. The reversal of 842742953413101 is 101314359247248.

842742953413101 is a `hidden beast` number, since 8 + 4 + 2 + 7 + 4 + 295 + 34 + 1 + 310 + 1 = 666.

842742953413101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 842742953413101 - 2⁹ = 842742953412589 is a prime.

It is a super-2 number, since 2×842742953413101² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842742953413171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87049395 + ... + 96244911.

It is an arithmetic number, because the mean of its divisors is an integer number (22245797145600).

Almost surely, 2^{842742953413101} is an apocalyptic number.

It is an amenable number.

842742953413101 is a deficient number, since it is larger than the sum of its proper divisors (580988063905299).

842742953413101 is a wasteful number, since it uses less digits than its factorization.

842742953413101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9210915 (or 9210909 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 842742953413101 in words is "eight hundred forty-two trillion, seven hundred forty-two billion, nine hundred fifty-three million, four hundred thirteen thousand, one hundred one".