14906481408 has 432 divisors, whose sum is σ = 54581667840. Its totient is φ = 3929223168.

The previous prime is 14906481391. The next prime is 14906481439. The reversal of 14906481408 is 80418460941.

It is a tau number, because it is divible by the number of its divisors (432).

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, 8175985 + ... + 8177807.

Almost surely, 2^14906481408 is an apocalyptic number.

14906481408 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 14906481408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27290833920).

14906481408 is an abundant number, since it is smaller than the sum of its proper divisors (39675186432).

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

14906481408 is a wasteful number, since it uses less digits than its factorization.

14906481408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 14906481408 in words is "fourteen billion, nine hundred six million, four hundred eighty-one thousand, four hundred eight".