73448565166080 has 624 divisors, whose sum is σ = 281584965589200. Its totient is φ = 17590986473472.

The previous prime is 73448565166073. The next prime is 73448565166087. The reversal of 73448565166080 is 8066156584437.

73448565166080 is a `hidden beast` number, since 7 + 3 + 4 + 4 + 8 + 5 + 6 + 5 + 16 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (73448565166073) and next prime (73448565166087).

It can be written as a sum of positive squares in 8 ways, for example, as 11860474761216 + 61588090404864 = 3443904^2 + 7847808^2 .

It is a tau number, because it is divible by the number of its divisors (624).

It is a junction number, because it is equal to n+sod(n) for n = 73448565165999 and 73448565166017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73448565166087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88243696 + ... + 89072144.

It is an arithmetic number, because the mean of its divisors is an integer number (451257957675).

Almost surely, 2^{73448565166080} 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 73448565166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140792482794600).

73448565166080 is an abundant number, since it is smaller than the sum of its proper divisors (208136400423120).

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

73448565166080 is a wasteful number, since it uses less digits than its factorization.

73448565166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828534 (or 828509 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 73448565166080 in words is "seventy-three trillion, four hundred forty-eight billion, five hundred sixty-five million, one hundred sixty-six thousand, eighty".