1418148000 has 288 divisors, whose sum is σ = 5222992320. Its totient is φ = 377913600.

The previous prime is 1418147999. The next prime is 1418148031. The reversal of 1418148000 is 8418141.

1418148000 is a `hidden beast` number, since 1 + 4 + 181 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1418148000² = 4022287499808000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 971271 + ... + 972729.

It is an arithmetic number, because the mean of its divisors is an integer number (18135390).

Almost surely, 2^1418148000 is an apocalyptic number.

1418148000 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 1418148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611496160).

1418148000 is an abundant number, since it is smaller than the sum of its proper divisors (3804844320).

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

1418148000 is an equidigital number, since it uses as much as digits as its factorization.

1418148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1418148000 is about 37658.3058567429. The cubic root of 1418148000 is about 1123.5020062317.

The spelling of 1418148000 in words is "one billion, four hundred eighteen million, one hundred forty-eight thousand".