83614440000 has 1680 divisors, whose sum is σ = 371737006080. Its totient is φ = 16174080000.

The previous prime is 83614439989. The next prime is 83614440029. The reversal of 83614440000 is 4441638.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 83614440000.

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 2697239985 + ... + 2697240015.

Almost surely, 2^83614440000 is an apocalyptic number.

83614440000 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 83614440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185868503040).

83614440000 is an abundant number, since it is smaller than the sum of its proper divisors (288122566080).

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

83614440000 is a wasteful number, since it uses less digits than its factorization.

83614440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 83614440000 its reverse (4441638), we get a palindrome (83618881638).

The spelling of 83614440000 in words is "eighty-three billion, six hundred fourteen million, four hundred forty thousand".