14638354080 has 288 divisors, whose sum is σ = 54655824384. Its totient is φ = 3282499584.

The previous prime is 14638354061. The next prime is 14638354097. The reversal of 14638354080 is 8045383641.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1240689 + ... + 1252431.

It is an arithmetic number, because the mean of its divisors is an integer number (189777168).

Almost surely, 2^14638354080 is an apocalyptic number.

14638354080 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 14638354080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27327912192).

14638354080 is an abundant number, since it is smaller than the sum of its proper divisors (40017470304).

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

14638354080 is a wasteful number, since it uses less digits than its factorization.

14638354080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11828 (or 11813 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 14638354080 in words is "fourteen billion, six hundred thirty-eight million, three hundred fifty-four thousand, eighty".