18831523984 has 225 divisors, whose sum is σ = 47619962637. Its totient is φ = 7192942848.

The previous prime is 18831523967. The next prime is 18831523987. The reversal of 18831523984 is 48932513881.

It is a happy number.

The square root of 18831523984 is 137228.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 18816157584 + 15366400 = 137172^2 + 3920^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (18831523987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 649362882 + ... + 649362910.

Almost surely, 2^18831523984 is an apocalyptic number.

18831523984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

18831523984 is the 137228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18831523984

18831523984 is an abundant number, since it is smaller than the sum of its proper divisors (28788438653).

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

18831523984 is an frugal number, since it uses more digits than its factorization.

18831523984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 51 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 52.

The spelling of 18831523984 in words is "eighteen billion, eight hundred thirty-one million, five hundred twenty-three thousand, nine hundred eighty-four".