83415460128 has 1152 divisors, whose sum is σ = 320003260416. Its totient is φ = 18466652160.

The previous prime is 83415460061. The next prime is 83415460213. The reversal of 83415460128 is 82106451438.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 83415460128.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1142677500 + ... + 1142677572.

It is an arithmetic number, because the mean of its divisors is an integer number (277780608).

Almost surely, 2^83415460128 is an apocalyptic number.

83415460128 is a gapful number since it is divisible by the number (88) 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 83415460128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160001630208).

83415460128 is an abundant number, since it is smaller than the sum of its proper divisors (236587800288).

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

83415460128 is a wasteful number, since it uses less digits than its factorization.

83415460128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 83415460128 in words is "eighty-three billion, four hundred fifteen million, four hundred sixty thousand, one hundred twenty-eight".