18211130496 has 96 divisors (see below), whose sum is σ = 56435581020. Its totient is φ = 5603420160.

The previous prime is 18211130491. The next prime is 18211130521. The reversal of 18211130496 is 69403111281.

18211130496 is a `hidden beast` number, since 18 + 21 + 1 + 130 + 496 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18134392896 + 76737600 = 134664^2 + 8760^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 18211130496.

It is not an unprimeable number, because it can be changed into a prime (18211130491) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 593035 + ... + 622986.

Almost surely, 2^18211130496 is an apocalyptic number.

18211130496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18211130496 is an abundant number, since it is smaller than the sum of its proper divisors (38224450524).

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

18211130496 is a wasteful number, since it uses less digits than its factorization.

18211130496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216054 (or 1216039 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 18211130496 in words is "eighteen billion, two hundred eleven million, one hundred thirty thousand, four hundred ninety-six".