10198814976 has 504 divisors, whose sum is σ = 35995690304. Its totient is φ = 2821754880.

The previous prime is 10198814959. The next prime is 10198815001. The reversal of 10198814976 is 67941889101.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 48335511 + ... + 48335721.

Almost surely, 2^10198814976 is an apocalyptic number.

10198814976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10198814976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17997845152).

10198814976 is an abundant number, since it is smaller than the sum of its proper divisors (25796875328).

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

10198814976 is an frugal number, since it uses more digits than its factorization.

10198814976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

It can be divided in two parts, 101988 and 14976, that added together give a square (116964 = 342²).

The spelling of 10198814976 in words is "ten billion, one hundred ninety-eight million, eight hundred fourteen thousand, nine hundred seventy-six".