1434845664 has 240 divisors, whose sum is σ = 4980197376. Its totient is φ = 396576000.

The previous prime is 1434845663. The next prime is 1434845677. The reversal of 1434845664 is 4665484341.

1434845664 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 84 + 566 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434845663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 561189 + ... + 563739.

Almost surely, 2^1434845664 is an apocalyptic number.

1434845664 is a gapful number since it is divisible by the number (14) 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 1434845664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490098688).

1434845664 is an abundant number, since it is smaller than the sum of its proper divisors (3545351712).

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

1434845664 is a wasteful number, since it uses less digits than its factorization.

1434845664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2594 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 1434845664 is about 37879.3566999230. The cubic root of 1434845664 is about 1127.8942861546.

The spelling of 1434845664 in words is "one billion, four hundred thirty-four million, eight hundred forty-five thousand, six hundred sixty-four".