1414661664 has 192 divisors, whose sum is σ = 4275089280. Its totient is φ = 405749760.

The previous prime is 1414661653. The next prime is 1414661683. The reversal of 1414661664 is 4661664141.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2779042 + ... + 2779550.

It is an arithmetic number, because the mean of its divisors is an integer number (22266090).

Almost surely, 2^1414661664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414661664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137544640).

1414661664 is an abundant number, since it is smaller than the sum of its proper divisors (2860427616).

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

1414661664 is a wasteful number, since it uses less digits than its factorization.

1414661664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 675 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 1414661664 is about 37611.9883016041. The cubic root of 1414661664 is about 1122.5805886225.

The spelling of 1414661664 in words is "one billion, four hundred fourteen million, six hundred sixty-one thousand, six hundred sixty-four".