18254944890 has 384 divisors, whose sum is σ = 62557028352. Its totient is φ = 3725948160.

The previous prime is 18254944889. The next prime is 18254944907. The reversal of 18254944890 is 9844945281.

It is a happy number.

18254944890 is a `hidden beast` number, since 1 + 8 + 2 + 549 + 4 + 4 + 8 + 90 = 666.

It is a super-2 number, since 2×18254944890² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

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 191 ways as a sum of consecutive naturals, for example, 6853699 + ... + 6856361.

It is an arithmetic number, because the mean of its divisors is an integer number (162908928).

Almost surely, 2^18254944890 is an apocalyptic number.

18254944890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18254944890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31278514176).

18254944890 is an abundant number, since it is smaller than the sum of its proper divisors (44302083462).

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

18254944890 is a wasteful number, since it uses less digits than its factorization.

18254944890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 18254944890 in words is "eighteen billion, two hundred fifty-four million, nine hundred forty-four thousand, eight hundred ninety".