73383262848 has 704 divisors, whose sum is σ = 267419601600. Its totient is φ = 19591041024.

The previous prime is 73383262783. The next prime is 73383262879. The reversal of 73383262848 is 84826238337.

73383262848 is a `hidden beast` number, since 7 + 3 + 3 + 8 + 3 + 2 + 628 + 4 + 8 = 666.

It is a super-2 number, since 2×73383262848² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 73383262794 and 73383262803.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 1005250140 + ... + 1005250212.

Almost surely, 2^73383262848 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 73383262848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133709800800).

73383262848 is an abundant number, since it is smaller than the sum of its proper divisors (194036338752).

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

73383262848 is an frugal number, since it uses more digits than its factorization.

73383262848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 104 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 73383262848 in words is "seventy-three billion, three hundred eighty-three million, two hundred sixty-two thousand, eight hundred forty-eight".