1214514000 has 840 divisors, whose sum is σ = 5423177448. Its totient is φ = 261273600.

The previous prime is 1214513987. The next prime is 1214514023. The reversal of 1214514000 is 4154121.

1214514000 is a `hidden beast` number, since 1 + 214 + 51 + 400 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5143824 + 1209370176 = 2268^2 + 34776^2 .

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 71441992 + ... + 71442008.

Almost surely, 2^1214514000 is an apocalyptic number.

1214514000 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 1214514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711588724).

1214514000 is an abundant number, since it is smaller than the sum of its proper divisors (4208663448).

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

1214514000 is an equidigital number, since it uses as much as digits as its factorization.

1214514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1214514000 is about 34849.8780485671. The cubic root of 1214514000 is about 1066.9256966405.

Adding to 1214514000 its reverse (4154121), we get a palindrome (1218668121).

The spelling of 1214514000 in words is "one billion, two hundred fourteen million, five hundred fourteen thousand".