14410073664 has 840 divisors, whose sum is σ = 54489169152. Its totient is φ = 3739115520.

The previous prime is 14410073663. The next prime is 14410073677. The reversal of 14410073664 is 46637001441.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14410073663) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 202958749 + ... + 202958819.

Almost surely, 2^14410073664 is an apocalyptic number.

14410073664 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 14410073664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27244584576).

14410073664 is an abundant number, since it is smaller than the sum of its proper divisors (40079095488).

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

14410073664 is a wasteful number, since it uses less digits than its factorization.

14410073664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 14410073664 in words is "fourteen billion, four hundred ten million, seventy-three thousand, six hundred sixty-four".