83414130048 has 256 divisors, whose sum is σ = 255600576000. Its totient is φ = 26748610560.

The previous prime is 83414130029. The next prime is 83414130097. The reversal of 83414130048 is 84003141438.

83414130048 is a `hidden beast` number, since 8 + 341 + 4 + 1 + 300 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83414129994 and 83414130021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30767413 + ... + 30770123.

It is an arithmetic number, because the mean of its divisors is an integer number (998439750).

Almost surely, 2^83414130048 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 83414130048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127800288000).

83414130048 is an abundant number, since it is smaller than the sum of its proper divisors (172186445952).

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

83414130048 is a wasteful number, since it uses less digits than its factorization.

83414130048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3070 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 83414130048 in words is "eighty-three billion, four hundred fourteen million, one hundred thirty thousand, forty-eight".