83877427456 has 81 divisors (see below), whose sum is σ = 175245825531. Its totient is φ = 40064318976.

The previous prime is 83877427453. The next prime is 83877427511. The reversal of 83877427456 is 65472477838.

The square root of 83877427456 is 289616.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83877427394 and 83877427403.

It is not an unprimeable number, because it can be changed into a prime (83877427451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 106578295 + ... + 106579081.

Almost surely, 2^83877427456 is an apocalyptic number.

83877427456 is the 289616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83877427456

83877427456 is an abundant number, since it is smaller than the sum of its proper divisors (91368398075).

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

83877427456 is an frugal number, since it uses more digits than its factorization.

83877427456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 812 counting only the distinct ones).

The product of its digits is 63221760, while the sum is 61.

The spelling of 83877427456 in words is "eighty-three billion, eight hundred seventy-seven million, four hundred twenty-seven thousand, four hundred fifty-six".