83944468273752 has 192 divisors, whose sum is σ = 243211605212160. Its totient is φ = 26064561024000.

The previous prime is 83944468273691. The next prime is 83944468273811. The reversal of 83944468273752 is 25737286444938.

83944468273752 is a `hidden beast` number, since 8 + 3 + 9 + 44 + 468 + 2 + 73 + 7 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49249323 + ... + 50925285.

It is an arithmetic number, because the mean of its divisors is an integer number (1266727110480).

Almost surely, 2^{83944468273752} 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 83944468273752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121605802606080).

83944468273752 is an abundant number, since it is smaller than the sum of its proper divisors (159267136938408).

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

83944468273752 is a wasteful number, since it uses less digits than its factorization.

83944468273752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676414 (or 1676407 counting only the distinct ones).

The product of its digits is 1950842880, while the sum is 72.

The spelling of 83944468273752 in words is "eighty-three trillion, nine hundred forty-four billion, four hundred sixty-eight million, two hundred seventy-three thousand, seven hundred fifty-two".