83778931456 has 144 divisors (see below), whose sum is σ = 188765918208. Its totient is φ = 36765388800.

The previous prime is 83778931447. The next prime is 83778931477. The reversal of 83778931456 is 65413987738.

It is a junction number, because it is equal to n+sod(n) for n = 83778931394 and 83778931403.

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 15 ways as a sum of consecutive naturals, for example, 48623011 + ... + 48624733.

It is an arithmetic number, because the mean of its divisors is an integer number (1310874432).

Almost surely, 2^83778931456 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 83778931456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94382959104).

83778931456 is an abundant number, since it is smaller than the sum of its proper divisors (104986986752).

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

83778931456 is a wasteful number, since it uses less digits than its factorization.

83778931456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2324 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 61.

The spelling of 83778931456 in words is "eighty-three billion, seven hundred seventy-eight million, nine hundred thirty-one thousand, four hundred fifty-six".