83444919264 has 576 divisors, whose sum is σ = 304117632000. Its totient is φ = 21593392128.

The previous prime is 83444919247. The next prime is 83444919323. The reversal of 83444919264 is 46291944438.

83444919264 is a `hidden beast` number, since 8 + 3 + 4 + 4 + 491 + 92 + 64 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 83444919264.

It is a congruent number.

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, 43167642 + ... + 43169574.

It is an arithmetic number, because the mean of its divisors is an integer number (527982000).

Almost surely, 2^83444919264 is an apocalyptic number.

83444919264 is a gapful number since it is divisible by the number (84) 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 83444919264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152058816000).

83444919264 is an abundant number, since it is smaller than the sum of its proper divisors (220672712736).

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

83444919264 is a wasteful number, since it uses less digits than its factorization.

83444919264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 1987 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 83444919264 in words is "eighty-three billion, four hundred forty-four million, nine hundred nineteen thousand, two hundred sixty-four".