73475853048 has 288 divisors, whose sum is σ = 224393420160. Its totient is φ = 21568135680.

The previous prime is 73475853007. The next prime is 73475853083. The reversal of 73475853048 is 84035857437.

It is a happy number.

73475853048 is a `hidden beast` number, since 7 + 34 + 75 + 8 + 530 + 4 + 8 = 666.

It is a super-2 number, since 2×73475853048² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73475852985 and 73475853003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 467998986 + ... + 467999142.

It is an arithmetic number, because the mean of its divisors is an integer number (779143820).

Almost surely, 2^73475853048 is an apocalyptic number.

73475853048 is a gapful number since it is divisible by the number (78) 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 73475853048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112196710080).

73475853048 is an abundant number, since it is smaller than the sum of its proper divisors (150917567112).

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

73475853048 is a wasteful number, since it uses less digits than its factorization.

73475853048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 73475853048 in words is "seventy-three billion, four hundred seventy-five million, eight hundred fifty-three thousand, forty-eight".