10198517664 has 48 divisors (see below), whose sum is σ = 26788980960. Its totient is φ = 3397236480.

The previous prime is 10198517657. The next prime is 10198517669. The reversal of 10198517664 is 46671589101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10198517669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112282 + ... + 181670.

It is an arithmetic number, because the mean of its divisors is an integer number (558103770).

Almost surely, 2^10198517664 is an apocalyptic number.

It is an amenable number.

10198517664 is an abundant number, since it is smaller than the sum of its proper divisors (16590463296).

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

10198517664 is a wasteful number, since it uses less digits than its factorization.

10198517664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70933 (or 70925 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 10198517664 in words is "ten billion, one hundred ninety-eight million, five hundred seventeen thousand, six hundred sixty-four".