84413144131448 has 64 divisors (see below), whose sum is σ = 173084820710400. Its totient is φ = 38275985063680.

The previous prime is 84413144131423. The next prime is 84413144131483.

84413144131448 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×84413144131448² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84413144131396 and 84413144131405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119485940 + ... + 120190332.

It is an arithmetic number, because the mean of its divisors is an integer number (2704450323600).

Almost surely, 2^{84413144131448} is an apocalyptic number.

84413144131448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

84413144131448 is an abundant number, since it is smaller than the sum of its proper divisors (88671676578952).

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

84413144131448 is a wasteful number, since it uses less digits than its factorization.

84413144131448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707732 (or 707728 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 50.

The spelling of 84413144131448 in words is "eighty-four trillion, four hundred thirteen billion, one hundred forty-four million, one hundred thirty-one thousand, four hundred forty-eight".