14796474144480 has 576 divisors, whose sum is σ = 59133933121536. Its totient is φ = 3298434048000.

The previous prime is 14796474144467. The next prime is 14796474144553. The reversal of 14796474144480 is 8444147469741.

14796474144480 is a `hidden beast` number, since 1 + 4 + 7 + 9 + 6 + 4 + 7 + 4 + 144 + 480 = 666.

14796474144480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1996551975 + ... + 1996559385.

It is an arithmetic number, because the mean of its divisors is an integer number (102663078336).

Almost surely, 2^{14796474144480} is an apocalyptic number.

14796474144480 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 14796474144480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29566966560768).

14796474144480 is an abundant number, since it is smaller than the sum of its proper divisors (44337458977056).

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

14796474144480 is a wasteful number, since it uses less digits than its factorization.

14796474144480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12311 (or 12300 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 14796474144480 in words is "fourteen trillion, seven hundred ninety-six billion, four hundred seventy-four million, one hundred forty-four thousand, four hundred eighty".