1141614000 has 400 divisors, whose sum is σ = 4283341920. Its totient is φ = 293932800.

The previous prime is 1141613999. The next prime is 1141614043. The reversal of 1141614000 is 4161411.

1141614000 is a `hidden beast` number, since 11 + 41 + 614 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39365986 + ... + 39366014.

Almost surely, 2^1141614000 is an apocalyptic number.

1141614000 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 1141614000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141670960).

1141614000 is an abundant number, since it is smaller than the sum of its proper divisors (3141727920).

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

1141614000 is an frugal number, since it uses more digits than its factorization.

1141614000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1141614000 is about 33787.7788556750. The cubic root of 1141614000 is about 1045.1366929695.

Adding to 1141614000 its reverse (4161411), we get a palindrome (1145775411).

The spelling of 1141614000 in words is "one billion, one hundred forty-one million, six hundred fourteen thousand".