1414630656 has 180 divisors, whose sum is σ = 4467413412. Its totient is φ = 443695104.

The previous prime is 1414630649. The next prime is 1414630699. The reversal of 1414630656 is 6560364141.

It is a happy number.

1414630656 is a `hidden beast` number, since 1 + 4 + 14 + 630 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1145145600 + 269485056 = 33840^2 + 16416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1414630656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 350506 + ... + 354518.

Almost surely, 2^1414630656 is an apocalyptic number.

1414630656 is a gapful number since it is divisible by the number (16) 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 1414630656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233706706).

1414630656 is an abundant number, since it is smaller than the sum of its proper divisors (3052782756).

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

1414630656 is an equidigital number, since it uses as much as digits as its factorization.

1414630656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1414630656 is about 37611.5760903475. The cubic root of 1414630656 is about 1122.5723866064.

Adding to 1414630656 its reverse (6560364141), we get a palindrome (7974994797).

The spelling of 1414630656 in words is "one billion, four hundred fourteen million, six hundred thirty thousand, six hundred fifty-six".