73414048454784 has 192 divisors, whose sum is σ = 220451827003200. Its totient is φ = 23406296094720.

The previous prime is 73414048454759. The next prime is 73414048454849. The reversal of 73414048454784 is 48745484041437.

73414048454784 is a `hidden beast` number, since 7 + 3 + 4 + 1 + 4 + 0 + 4 + 8 + 4 + 547 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 730735947 + ... + 730836405.

It is an arithmetic number, because the mean of its divisors is an integer number (1148186598975).

Almost surely, 2^{73414048454784} 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 73414048454784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110225913501600).

73414048454784 is an abundant number, since it is smaller than the sum of its proper divisors (147037778548416).

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

73414048454784 is a wasteful number, since it uses less digits than its factorization.

73414048454784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128083 (or 128068 counting only the distinct ones).

The product of its (nonzero) digits is 192675840, while the sum is 63.

The spelling of 73414048454784 in words is "seventy-three trillion, four hundred fourteen billion, forty-eight million, four hundred fifty-four thousand, seven hundred eighty-four".