83419190016 has 144 divisors (see below), whose sum is σ = 223867252224. Its totient is φ = 27575713792.

The previous prime is 83419189981. The next prime is 83419190021. The reversal of 83419190016 is 61009191438.

It is a super-2 number, since 2×83419190016² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83419190016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51909085 + ... + 51910691.

It is an arithmetic number, because the mean of its divisors is an integer number (1554633696).

Almost surely, 2^83419190016 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 83419190016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111933626112).

83419190016 is an abundant number, since it is smaller than the sum of its proper divisors (140448062208).

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

83419190016 is a wasteful number, since it uses less digits than its factorization.

83419190016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 83419190016 in words is "eighty-three billion, four hundred nineteen million, one hundred ninety thousand, sixteen".