14453091132480 has 2016 divisors, whose sum is σ = 68876603123328. Its totient is φ = 2733966950400.

The previous prime is 14453091132451. The next prime is 14453091132509. The reversal of 14453091132480 is 8423119035441.

14453091132480 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 30 + 9 + 1 + 132 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (14453091132451) and next prime (14453091132509).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1473146775 + ... + 1473156585.

It is an arithmetic number, because the mean of its divisors is an integer number (34164981708).

Almost surely, 2^{14453091132480} is an apocalyptic number.

14453091132480 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 14453091132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34438301561664).

14453091132480 is an abundant number, since it is smaller than the sum of its proper divisors (54423511990848).

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

14453091132480 is a wasteful number, since it uses less digits than its factorization.

14453091132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9945 (or 9925 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 14453091132480 in words is "fourteen trillion, four hundred fifty-three billion, ninety-one million, one hundred thirty-two thousand, four hundred eighty".