83416944072 has 384 divisors, whose sum is σ = 269844019200. Its totient is φ = 21025889280.

The previous prime is 83416944047. The next prime is 83416944113. The reversal of 83416944072 is 27044961438.

It is a super-2 number, since 2×83416944072² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99423829 + ... + 99424667.

It is an arithmetic number, because the mean of its divisors is an integer number (702718800).

Almost surely, 2^83416944072 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 83416944072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134922009600).

83416944072 is an abundant number, since it is smaller than the sum of its proper divisors (186427075128).

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

83416944072 is a wasteful number, since it uses less digits than its factorization.

83416944072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 83416944072 in words is "eighty-three billion, four hundred sixteen million, nine hundred forty-four thousand, seventy-two".