18764224992 has 192 divisors, whose sum is σ = 56358973440. Its totient is φ = 6069385728.

The previous prime is 18764224979. The next prime is 18764225009. The reversal of 18764224992 is 29942246781.

It is a happy number.

It is a super-2 number, since 2×18764224992² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19404093 + ... + 19405059.

It is an arithmetic number, because the mean of its divisors is an integer number (293536320).

Almost surely, 2^18764224992 is an apocalyptic number.

18764224992 is a gapful number since it is divisible by the number (12) 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 18764224992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28179486720).

18764224992 is an abundant number, since it is smaller than the sum of its proper divisors (37594748448).

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

18764224992 is a wasteful number, since it uses less digits than its factorization.

18764224992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1616 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 18764224992 in words is "eighteen billion, seven hundred sixty-four million, two hundred twenty-four thousand, nine hundred ninety-two".