18505358976 has 384 divisors, whose sum is σ = 57236981760. Its totient is φ = 5264179200.

The previous prime is 18505358933. The next prime is 18505358987. The reversal of 18505358976 is 67985350581.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145711425 + ... + 145711551.

It is an arithmetic number, because the mean of its divisors is an integer number (149054640).

Almost surely, 2^18505358976 is an apocalyptic number.

18505358976 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 18505358976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28618490880).

18505358976 is an abundant number, since it is smaller than the sum of its proper divisors (38731622784).

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

18505358976 is a wasteful number, since it uses less digits than its factorization.

18505358976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 57.

The spelling of 18505358976 in words is "eighteen billion, five hundred five million, three hundred fifty-eight thousand, nine hundred seventy-six".