73814040101 has 16 divisors (see below), whose sum is σ = 77864371200. Its totient is φ = 69780438000.

The previous prime is 73814040071. The next prime is 73814040119. The reversal of 73814040101 is 10104041837.

It is a cyclic number.

It is not a de Polignac number, because 73814040101 - 2¹⁰ = 73814039077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73814040401) 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 15 ways as a sum of consecutive naturals, for example, 25113890 + ... + 25116828.

It is an arithmetic number, because the mean of its divisors is an integer number (4866523200).

Almost surely, 2^73814040101 is an apocalyptic number.

It is an amenable number.

73814040101 is a deficient number, since it is larger than the sum of its proper divisors (4050331099).

73814040101 is a wasteful number, since it uses less digits than its factorization.

73814040101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5320.

The product of its (nonzero) digits is 2688, while the sum is 29.

Adding to 73814040101 its reverse (10104041837), we get a palindrome (83918081938).

The spelling of 73814040101 in words is "seventy-three billion, eight hundred fourteen million, forty thousand, one hundred one".