83134314560 has 168 divisors, whose sum is σ = 227928318336. Its totient is φ = 28639134720.

The previous prime is 83134314551. The next prime is 83134314581. The reversal of 83134314560 is 6541343138.

It is a super-2 number, since 2×83134314560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1238009 + ... + 1303431.

Almost surely, 2^83134314560 is an apocalyptic number.

83134314560 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 83134314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113964159168).

83134314560 is an abundant number, since it is smaller than the sum of its proper divisors (144794003776).

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

83134314560 is a wasteful number, since it uses less digits than its factorization.

83134314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65489 (or 65460 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

Adding to 83134314560 its reverse (6541343138), we get a palindrome (89675657698).

The spelling of 83134314560 in words is "eighty-three billion, one hundred thirty-four million, three hundred fourteen thousand, five hundred sixty".