73123566516 has 972 divisors, whose sum is σ = 272303121636. Its totient is φ = 16381854720.

The previous prime is 73123566499. The next prime is 73123566521. The reversal of 73123566516 is 61566532137.

73123566516 is a `hidden beast` number, since 7 + 3 + 123 + 5 + 6 + 6 + 516 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24965264016 + 48158302500 = 158004^2 + 219450^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 1001692656 + ... + 1001692728.

Almost surely, 2^73123566516 is an apocalyptic number.

73123566516 is a gapful number since it is divisible by the number (76) 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 73123566516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136151560818).

73123566516 is an abundant number, since it is smaller than the sum of its proper divisors (199179555120).

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

73123566516 is a wasteful number, since it uses less digits than its factorization.

73123566516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 128 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The spelling of 73123566516 in words is "seventy-three billion, one hundred twenty-three million, five hundred sixty-six thousand, five hundred sixteen".