8414005901 has 16 divisors (see below), whose sum is σ = 9646010880. Its totient is φ = 7189544880.

The previous prime is 8414005879. The next prime is 8414005907. The reversal of 8414005901 is 1095004148.

It is not a de Polignac number, because 8414005901 - 2³⁰ = 7340264077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8414005907) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4182986 + ... + 4184996.

It is an arithmetic number, because the mean of its divisors is an integer number (602875680).

Almost surely, 2^8414005901 is an apocalyptic number.

It is an amenable number.

8414005901 is a deficient number, since it is larger than the sum of its proper divisors (1232004979).

8414005901 is a wasteful number, since it uses less digits than its factorization.

8414005901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584.

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 8414005901 is about 91727.8905295440. The cubic root of 8414005901 is about 2033.9218915742.

The spelling of 8414005901 in words is "eight billion, four hundred fourteen million, five thousand, nine hundred one".