83415128140432 has 160 divisors (see below), whose sum is σ = 186863397120000. Its totient is φ = 35673746757120.

The previous prime is 83415128140427. The next prime is 83415128140433. The reversal of 83415128140432 is 23404182151438.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (83415128140433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5619822003 + ... + 5619836845.

It is an arithmetic number, because the mean of its divisors is an integer number (1167896232000).

Almost surely, 2^{83415128140432} 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 83415128140432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93431698560000).

83415128140432 is an abundant number, since it is smaller than the sum of its proper divisors (103448268979568).

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

83415128140432 is a wasteful number, since it uses less digits than its factorization.

83415128140432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26309 (or 26303 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 83415128140432 in words is "eighty-three trillion, four hundred fifteen billion, one hundred twenty-eight million, one hundred forty thousand, four hundred thirty-two".