842317701456 has 160 divisors (see below), whose sum is σ = 2722716592128. Its totient is φ = 217993720320.

The previous prime is 842317701413. The next prime is 842317701469. The reversal of 842317701456 is 654107713248.

It is a super-2 number, since 2×842317701456² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612421 + ... + 1435163.

Almost surely, 2^842317701456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842317701456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361358296064).

842317701456 is an abundant number, since it is smaller than the sum of its proper divisors (1880398890672).

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

842317701456 is a wasteful number, since it uses less digits than its factorization.

842317701456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823049 (or 823043 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 842317701456 in words is "eight hundred forty-two billion, three hundred seventeen million, seven hundred one thousand, four hundred fifty-six".