1838144880 has 480 divisors, whose sum is σ = 7508477760. Its totient is φ = 410572800.

The previous prime is 1838144863. The next prime is 1838144881. The reversal of 1838144880 is 884418381.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1838144881) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3397410 + ... + 3397950.

It is an arithmetic number, because the mean of its divisors is an integer number (15642662).

Almost surely, 2^1838144880 is an apocalyptic number.

1838144880 is a gapful number since it is divisible by the number (10) 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 1838144880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3754238880).

1838144880 is an abundant number, since it is smaller than the sum of its proper divisors (5670332880).

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

1838144880 is a wasteful number, since it uses less digits than its factorization.

1838144880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 1838144880 is about 42873.5918719204. The cubic root of 1838144880 is about 1224.9731783660.

The spelling of 1838144880 in words is "one billion, eight hundred thirty-eight million, one hundred forty-four thousand, eight hundred eighty".