83386114560 has 720 divisors, whose sum is σ = 338444974296. Its totient is φ = 18918014976.

The previous prime is 83386114547. The next prime is 83386114579. The reversal of 83386114560 is 6541168338.

83386114560 is a `hidden beast` number, since 8 + 3 + 3 + 86 + 1 + 1 + 4 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32555706624 + 50830407936 = 180432^2 + 225456^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 263047522 + ... + 263047838.

Almost surely, 2^83386114560 is an apocalyptic number.

83386114560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83386114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169222487148).

83386114560 is an abundant number, since it is smaller than the sum of its proper divisors (255058859736).

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

83386114560 is a wasteful number, since it uses less digits than its factorization.

83386114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 83386114560 in words is "eighty-three billion, three hundred eighty-six million, one hundred fourteen thousand, five hundred sixty".