98181798001 has 16 divisors (see below), whose sum is σ = 113896764928. Its totient is φ = 82892160000.

The previous prime is 98181797993. The next prime is 98181798023. The reversal of 98181798001 is 10089718189.

It is a 5-Lehmer number, since φ(98181798001) divides (98181798001-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 98181798001 - 2³ = 98181797993 is a prime.

It is a deceptive number, since it divides R_98181798000.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 98181798001.

It is not an unprimeable number, because it can be changed into a prime (98181798031) 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, 255841 + ... + 511681.

It is an arithmetic number, because the mean of its divisors is an integer number (7118547808).

Almost surely, 2^98181798001 is an apocalyptic number.

98181798001 is the 255841-st pentagonal number.

It is an amenable number.

98181798001 is a deficient number, since it is larger than the sum of its proper divisors (15714966927).

98181798001 is a wasteful number, since it uses less digits than its factorization.

98181798001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256672.

The product of its (nonzero) digits is 290304, while the sum is 52.

The spelling of 98181798001 in words is "ninety-eight billion, one hundred eighty-one million, seven hundred ninety-eight thousand, one".