14480601408 has 504 divisors, whose sum is σ = 52208582400. Its totient is φ = 3756699648.

The previous prime is 14480601379. The next prime is 14480601409. The reversal of 14480601408 is 80410608441.

14480601408 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 0 + 601 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 (14480601409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53831098 + ... + 53831366.

Almost surely, 2^14480601408 is an apocalyptic number.

14480601408 is a gapful number since it is divisible by the number (18) 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 14480601408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26104291200).

14480601408 is an abundant number, since it is smaller than the sum of its proper divisors (37727980992).

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

14480601408 is a wasteful number, since it uses less digits than its factorization.

14480601408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 14480601408 in words is "fourteen billion, four hundred eighty million, six hundred one thousand, four hundred eight".