14106454145280 has 1440 divisors, whose sum is σ = 60511294964736. Its totient is φ = 3070164860928.

The previous prime is 14106454145129. The next prime is 14106454145369. The reversal of 14106454145280 is 8254145460141.

14106454145280 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 64 + 54 + 14 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 159 ways as a sum of consecutive naturals, for example, 1262091052 + ... + 1262102228.

Almost surely, 2^{14106454145280} is an apocalyptic number.

14106454145280 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 14106454145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30255647482368).

14106454145280 is an abundant number, since it is smaller than the sum of its proper divisors (46404840819456).

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

14106454145280 is a wasteful number, since it uses less digits than its factorization.

14106454145280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11301 (or 11278 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 14106454145280 in words is "fourteen trillion, one hundred six billion, four hundred fifty-four million, one hundred forty-five thousand, two hundred eighty".