10098142873416 has 768 divisors, whose sum is σ = 32663973888000. Its totient is φ = 2897035269120.

The previous prime is 10098142873337. The next prime is 10098142873433. The reversal of 10098142873416 is 61437824189001.

10098142873416 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 8 + 14 + 287 + 341 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 9446344530 + ... + 9446345598.

It is an arithmetic number, because the mean of its divisors is an integer number (42531216000).

Almost surely, 2^{10098142873416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10098142873416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16331986944000).

10098142873416 is an abundant number, since it is smaller than the sum of its proper divisors (22565831014584).

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

10098142873416 is a wasteful number, since it uses less digits than its factorization.

10098142873416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 10098142873416 in words is "ten trillion, ninety-eight billion, one hundred forty-two million, eight hundred seventy-three thousand, four hundred sixteen".