10455198966 has 48 divisors (see below), whose sum is σ = 23289963840. Its totient is φ = 3387832560.

The previous prime is 10455198961. The next prime is 10455198967. The reversal of 10455198966 is 66989155401.

10455198966 is a `hidden beast` number, since 1 + 0 + 4 + 551 + 9 + 89 + 6 + 6 = 666.

It is a super-2 number, since 2×10455198966² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10455198961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131305 + ... + 195323.

It is an arithmetic number, because the mean of its divisors is an integer number (485207580).

Almost surely, 2^10455198966 is an apocalyptic number.

10455198966 is an abundant number, since it is smaller than the sum of its proper divisors (12834764874).

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

10455198966 is a wasteful number, since it uses less digits than its factorization.

10455198966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64281 (or 64278 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 10455198966 in words is "ten billion, four hundred fifty-five million, one hundred ninety-eight thousand, nine hundred sixty-six".