73414164096 has 192 divisors, whose sum is σ = 260008869120. Its totient is φ = 19361949696.

The previous prime is 73414163987. The next prime is 73414164101. The reversal of 73414164096 is 69046141437.

73414164096 is a `hidden beast` number, since 73 + 41 + 416 + 40 + 96 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245320 + ... + 454983.

It is an arithmetic number, because the mean of its divisors is an integer number (1354212860).

Almost surely, 2^73414164096 is an apocalyptic number.

It is an amenable number.

73414164096 is an abundant number, since it is smaller than the sum of its proper divisors (186594705024).

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

73414164096 is a wasteful number, since it uses less digits than its factorization.

73414164096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700343 (or 700328 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 73414164096 in words is "seventy-three billion, four hundred fourteen million, one hundred sixty-four thousand, ninety-six".