1418946144 has 192 divisors, whose sum is σ = 4888719360. Its totient is φ = 349125120.

The previous prime is 1418946143. The next prime is 1418946169. The reversal of 1418946144 is 4416498141.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1418946096 and 1418946105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1418946143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 135397 + ... + 145499.

It is an arithmetic number, because the mean of its divisors is an integer number (25462080).

Almost surely, 2^1418946144 is an apocalyptic number.

1418946144 is a gapful number since it is divisible by the number (14) 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 1418946144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444359680).

1418946144 is an abundant number, since it is smaller than the sum of its proper divisors (3469773216).

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

1418946144 is a wasteful number, since it uses less digits than its factorization.

1418946144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10153 (or 10145 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 1418946144 is about 37668.9015502178. The cubic root of 1418946144 is about 1123.7127384006.

The spelling of 1418946144 in words is "one billion, four hundred eighteen million, nine hundred forty-six thousand, one hundred forty-four".