14477504477072 has 320 divisors, whose sum is σ = 37157226785280. Its totient is φ = 5302087483392.

The previous prime is 14477504477069. The next prime is 14477504477113. The reversal of 14477504477072 is 27077440577441.

14477504477072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 470445878 + ... + 470476650.

It is an arithmetic number, because the mean of its divisors is an integer number (116116333704).

Almost surely, 2^{14477504477072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14477504477072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18578613392640).

14477504477072 is an abundant number, since it is smaller than the sum of its proper divisors (22679722308208).

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

14477504477072 is a wasteful number, since it uses less digits than its factorization.

14477504477072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31130 (or 31124 counting only the distinct ones).

The product of its (nonzero) digits is 43025920, while the sum is 59.

The spelling of 14477504477072 in words is "fourteen trillion, four hundred seventy-seven billion, five hundred four million, four hundred seventy-seven thousand, seventy-two".