10198801460199 has 32 divisors (see below), whose sum is σ = 15615934709760. Its totient is φ = 5855566831200.

The previous prime is 10198801460147. The next prime is 10198801460269. The reversal of 10198801460199 is 99106410889101.

It is not a de Polignac number, because 10198801460199 - 2¹⁵ = 10198801427431 is a prime.

It is a super-2 number, since 2×10198801460199² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10198801460119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18711244 + ... + 19248590.

It is an arithmetic number, because the mean of its divisors is an integer number (487997959680).

Almost surely, 2^{10198801460199} is an apocalyptic number.

10198801460199 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10198801460199 is a deficient number, since it is larger than the sum of its proper divisors (5417133249561).

10198801460199 is a wasteful number, since it uses less digits than its factorization.

10198801460199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567651.

The product of its (nonzero) digits is 1119744, while the sum is 57.

The spelling of 10198801460199 in words is "ten trillion, one hundred ninety-eight billion, eight hundred one million, four hundred sixty thousand, one hundred ninety-nine".