73349149984128 has 384 divisors, whose sum is σ = 223251137647200. Its totient is φ = 23051199283200.

The previous prime is 73349149983979. The next prime is 73349149984153. The reversal of 73349149984128 is 82148994194337.

73349149984128 is a `hidden beast` number, since 7 + 3 + 3 + 4 + 9 + 1 + 499 + 8 + 4 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16834780926 + ... + 16834785282.

Almost surely, 2^{73349149984128} 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 73349149984128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111625568823600).

73349149984128 is an abundant number, since it is smaller than the sum of its proper divisors (149901987663072).

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

73349149984128 is a wasteful number, since it uses less digits than its factorization.

73349149984128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7930 (or 7915 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 73349149984128 in words is "seventy-three trillion, three hundred forty-nine billion, one hundred forty-nine million, nine hundred eighty-four thousand, one hundred twenty-eight".