83473689341952 has 2808 divisors, whose sum is σ = 326038987533168. Its totient is φ = 21149366353920.

The previous prime is 83473689341947. The next prime is 83473689341971. The reversal of 83473689341952 is 25914398637438.

It is a happy number.

83473689341952 is a `hidden beast` number, since 8 + 3 + 4 + 73 + 6 + 8 + 93 + 419 + 52 = 666.

83473689341952 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2808).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 609297002428 + ... + 609297002564.

It is an arithmetic number, because the mean of its divisors is an integer number (116110750546).

Almost surely, 2^{83473689341952} 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 83473689341952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163019493766584).

83473689341952 is an abundant number, since it is smaller than the sum of its proper divisors (242565298191216).

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

83473689341952 is a wasteful number, since it uses less digits than its factorization.

83473689341952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 193 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 83473689341952 in words is "eighty-three trillion, four hundred seventy-three billion, six hundred eighty-nine million, three hundred forty-one thousand, nine hundred fifty-two".