73408146705 has 48 divisors (see below), whose sum is σ = 130741672464. Its totient is φ = 38074821120.

The previous prime is 73408146703. The next prime is 73408146737. The reversal of 73408146705 is 50764180437.

73408146705 is a `hidden beast` number, since 73 + 40 + 81 + 467 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7947900801 + 65460245904 = 89151^2 + 255852^2 .

It is not a de Polignac number, because 73408146705 - 2¹ = 73408146703 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (73408146703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3955107 + ... + 3973623.

It is an arithmetic number, because the mean of its divisors is an integer number (2723784843).

Almost surely, 2^73408146705 is an apocalyptic number.

It is an amenable number.

73408146705 is a deficient number, since it is larger than the sum of its proper divisors (57333525759).

73408146705 is a wasteful number, since it uses less digits than its factorization.

73408146705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20946 (or 20943 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 73408146705 in words is "seventy-three billion, four hundred eight million, one hundred forty-six thousand, seven hundred five".